diff --git a/.lintrunner.toml b/.lintrunner.toml
index 123581b273da..dafe6207a7c9 100644
--- a/.lintrunner.toml
+++ b/.lintrunner.toml
@@ -1222,7 +1222,6 @@ exclude_patterns = [
     'torch/_export/trace.py',
     'torch/_export/verifier.py',
     'torch/_vendor/**',
-    'torch/compiler/__init__.py',
     'torch/contrib/__init__.py',
     'torch/contrib/_tensorboard_vis.py',
     "torch/cuda/_gpu_trace.py",
diff --git a/docs/source/torch.compiler_api.rst b/docs/source/torch.compiler_api.rst
index a377349f84ae..e1c05f71c146 100644
--- a/docs/source/torch.compiler_api.rst
+++ b/docs/source/torch.compiler_api.rst
@@ -16,6 +16,7 @@ For a quick overview of ``torch.compiler``, see :ref:`torch.compiler_overview`.
      compile
      reset
      allow_in_graph
+     substitute_in_graph
      assume_constant_result
      list_backends
      disable
diff --git a/test/dynamo/test_decorators.py b/test/dynamo/test_decorators.py
index d822401d5a70..3938e78e139a 100644
--- a/test/dynamo/test_decorators.py
+++ b/test/dynamo/test_decorators.py
@@ -1,5 +1,6 @@
 # Owner(s): ["module: dynamo"]
 import functools
+import operator
 import os
 import unittest.mock as mock
 from unittest.mock import patch
@@ -8,6 +9,7 @@ import torch
 import torch._dynamo.test_case
 import torch._dynamo.testing
 from torch._dynamo.exc import IncorrectUsage
+from torch._dynamo.utils import counters
 
 
 def my_custom_function(x):
@@ -245,6 +247,51 @@ class DecoratorTests(torch._dynamo.test_case.TestCase):
         opt_fn(torch.randn(4))
         self.assertEqual(cnts.frame_count, 2)
 
+    def test_substitute_in_graph(self):
+        counters.clear()
+
+        # NB: Choose another C function for test when we support operator.indexOf
+        #     out of the box
+        cnts = torch._dynamo.testing.CompileCounter()
+        fn = operator.indexOf
+        opt_fn = torch._dynamo.optimize(cnts)(fn)
+        out = fn([1, 2, 3, 4, 5], 3)
+        opt_out = opt_fn([1, 2, 3, 4, 5], 3)
+        self.assertEqual(out, opt_out)
+        self.assertEqual(cnts.frame_count, 0)
+        self.assertEqual(len(counters["graph_break"]), 1)
+
+        torch._dynamo.reset()
+        counters.clear()
+
+        @torch._dynamo.substitute_in_graph(operator.indexOf)
+        def polyfill(sequence, x):
+            for i, item in enumerate(sequence):
+                if item is x or item == x:
+                    return i
+            raise ValueError("sequence.index(x): x not in sequence")
+
+        cnts = torch._dynamo.testing.CompileCounter()
+        fn = operator.indexOf
+        opt_fn = torch._dynamo.optimize(cnts, nopython=True)(fn)
+        out = fn([1, 2, 3, 4, 5], 3)
+        opt_out = opt_fn([1, 2, 3, 4, 5], 3)
+        self.assertEqual(out, opt_out)
+        self.assertEqual(cnts.frame_count, 0)
+        self.assertEqual(len(counters["graph_break"]), 0)
+
+        torch._dynamo.reset()
+        counters.clear()
+
+        cnts = torch._dynamo.testing.CompileCounter()
+        fn = polyfill
+        opt_fn = torch._dynamo.optimize(cnts, nopython=True)(fn)
+        out = fn([1, 2, 3, 4, 5], 3)
+        opt_out = opt_fn([1, 2, 3, 4, 5], 3)
+        self.assertEqual(out, opt_out)
+        self.assertEqual(cnts.frame_count, 0)
+        self.assertEqual(len(counters["graph_break"]), 0)
+
     @patch.object(torch._dynamo.config, "suppress_errors", True)
     def test_nested_disable_decorator(self):
         cnts = torch._dynamo.testing.CompileCounter()
diff --git a/torch/_dynamo/__init__.py b/torch/_dynamo/__init__.py
index 39e568ee19e0..8f7bab6362cc 100644
--- a/torch/_dynamo/__init__.py
+++ b/torch/_dynamo/__init__.py
@@ -17,6 +17,7 @@ from .decorators import (
     mark_static_address,
     maybe_mark_dynamic,
     run,
+    substitute_in_graph,
 )
 from .eval_frame import (
     _reset_guarded_backend_cache,
@@ -39,6 +40,7 @@ __all__ = [
     "assume_constant_result",
     "disallow_in_graph",
     "forbid_in_graph",
+    "substitute_in_graph",
     "graph_break",
     "mark_dynamic",
     "maybe_mark_dynamic",
diff --git a/torch/_dynamo/decorators.py b/torch/_dynamo/decorators.py
index 814f3e9d65dc..d5130b296eca 100644
--- a/torch/_dynamo/decorators.py
+++ b/torch/_dynamo/decorators.py
@@ -1,7 +1,8 @@
 # mypy: allow-untyped-defs
 # ruff: noqa: TCH004
+import functools
 from dataclasses import dataclass
-from typing import TYPE_CHECKING
+from typing import Any, Callable, TYPE_CHECKING, TypeVar
 
 import torch
 from torch.utils._python_dispatch import is_traceable_wrapper_subclass
@@ -11,6 +12,7 @@ from .comptime import comptime
 from .eval_frame import DisableContext, innermost_fn, RunOnlyContext
 from .exc import IncorrectUsage
 from .external_utils import is_compiling
+from .utils import is_function
 
 
 if TYPE_CHECKING:
@@ -28,6 +30,9 @@ else:
         globals()[name] = getattr(torch._C._dynamo.eval_frame, name)
 
 
+_F = TypeVar("_F", bound=Callable[..., Any])
+
+
 def run(fn=None):
     """Don't do any dynamic compiles, just use prior optimizations"""
     if fn is not None:
@@ -159,6 +164,106 @@ def forbid_in_graph(fn):
     return fn
 
 
+def substitute_in_graph(original_fn: _F) -> Callable[[_F], _F]:
+    """
+    Register a polyfill handler for a function, usually a C function from the C extension, to be
+    used in place of the original function when inlining the original function in the graph.
+
+    .. note::
+
+        The polyfill handler is only used when inlining the original function. It is not used when
+        the original function is called directly. In the eager mode, the decorated function calls
+        the performant C function rather than the polyfill handler.
+
+    The polyfill handler is a function that will be called in place of the original function when
+    inlining the original function. The polyfill handler should have the same signature and the same
+    behavior as the original function.
+
+    Args:
+        original_fn (callable): The original function, usually a C function, to register a polyfill
+            handler for.
+
+    Returns:
+        A decorator that registers the polyfill handler for the original function.
+
+    Example::
+
+        >>> # xdoctest: +SKIP("conflict with the tests: duplicate polyfill handlers")
+        >>> import operator
+        >>> operator.indexOf([1, 2, 3, 4, 5], 3)
+        2
+        >>> torch.compile(operator.indexOf, fullgraph=True)([1, 2, 3, 4, 5], 3)
+        Traceback (most recent call last):
+        ...
+        torch._dynamo.exc.Unsupported: ...
+
+        >>> @torch.compiler.substitute_in_graph(operator.indexOf)
+        ... def indexOf(a, b, /):
+        ...     for i, item in enumerate(a):
+        ...         if item is b or item == b:
+        ...             return i
+        ...     raise ValueError("sequence.index(x): x not in sequence")
+        >>>
+        >>> torch.compile(operator.indexOf, fullgraph=True)([1, 2, 3, 4, 5], 3)
+        2
+    """
+    if not is_function(original_fn):
+        raise TypeError(
+            f"substitute_in_graph expects a function but got {type(original_fn)!r}"
+        )
+
+    def wrapper(traceable_fn: _F) -> _F:
+        from torch._dynamo.guards import GuardBuilder
+        from torch._dynamo.trace_rules import get_torch_obj_rule_map
+        from torch._dynamo.variables import PolyfilledFunctionVariable
+        from torch._dynamo.variables.builder import VariableBuilder
+
+        id_dispatch_map = VariableBuilder._id_dispatch()
+        if id(original_fn) in id_dispatch_map:
+            raise ValueError(
+                f"Duplicate dispatch rule for {original_fn}: "
+                "already registered in VariableBuilder's id dispatch map"
+            )
+
+        rule_map = get_torch_obj_rule_map()
+        if original_fn in rule_map:
+            raise ValueError(
+                f"Duplicate object {original_fn} with different rules: "
+                f"{PolyfilledFunctionVariable}, {rule_map[original_fn]}"
+            )
+
+        polyfill_handlers = PolyfilledFunctionVariable._get_polyfill_handlers()
+        if original_fn in polyfill_handlers:
+            raise ValueError(
+                f"Duplicate polyfill handlers for {original_fn}: "
+                f"already handled by {polyfill_handlers[original_fn]}"
+            )
+
+        # Need to wrap the function because we may cannot assign __torch_dynamo_polyfill__ to a
+        # C++ function.
+        @functools.wraps(traceable_fn)
+        def wrapped(*args, **kwargs):
+            return original_fn(*args, **kwargs)
+
+        def dispatch_fn(self, value):
+            return PolyfilledFunctionVariable(
+                value,
+                source=self.source,
+                **self.install_guards(GuardBuilder.CLOSURE_MATCH),
+            )
+
+        id_dispatch_map[id(original_fn)] = id_dispatch_map[id(wrapped)] = dispatch_fn
+        rule_map[original_fn] = rule_map[wrapped] = PolyfilledFunctionVariable
+        polyfill_handlers[original_fn] = polyfill_handlers[wrapped] = traceable_fn
+
+        wrapped.__torch_dynamo_original__ = original_fn  # type: ignore[attr-defined]
+        wrapped.__torch_dynamo_polyfill__ = traceable_fn  # type: ignore[attr-defined]
+
+        return wrapped  # type: ignore[return-value]
+
+    return wrapper
+
+
 # Helper function to flatten a tensor subclass and apply a function to
 # all inner tensors that match the outer dim. Used to reduce duplication
 # across the various marking APIs.
diff --git a/torch/_dynamo/trace_rules.py b/torch/_dynamo/trace_rules.py
index 404bd49e6767..cd82511c97e8 100644
--- a/torch/_dynamo/trace_rules.py
+++ b/torch/_dynamo/trace_rules.py
@@ -47,6 +47,7 @@ from .variables import (
     FunctionalCallVariable,
     FunctorchHigherOrderVariable,
     NestedUserFunctionVariable,
+    PolyfilledFunctionVariable,
     SkipFunctionVariable,
     TorchInGraphFunctionVariable,
     UserFunctionVariable,
@@ -3459,7 +3460,7 @@ def check_verbose(obj, is_inlined_call=False):
     rule = torch._dynamo.trace_rules.lookup_inner(
         fi.py_obj, fi.name, fi.filename, is_inlined_call, reasons
     )
-    if issubclass(rule, UserFunctionVariable):
+    if issubclass(rule, (UserFunctionVariable, PolyfilledFunctionVariable)):
         return SkipResult(
             False,
             f"inlined according trace_rules.lookup {reasons.pop()}",
diff --git a/torch/_dynamo/variables/__init__.py b/torch/_dynamo/variables/__init__.py
index 2b4d8f787d9d..d8f97148c106 100644
--- a/torch/_dynamo/variables/__init__.py
+++ b/torch/_dynamo/variables/__init__.py
@@ -30,6 +30,7 @@ from .distributed import BackwardHookVariable, DistributedVariable, PlacementVar
 from .functions import (
     FunctoolsPartialVariable,
     NestedUserFunctionVariable,
+    PolyfilledFunctionVariable,
     SkipFunctionVariable,
     UserFunctionVariable,
     UserMethodVariable,
@@ -144,6 +145,7 @@ __all__ = [
     "NumpyVariable",
     "OptimizerVariable",
     "PlacementVariable",
+    "PolyfilledFunctionVariable",
     "PythonModuleVariable",
     "RangeVariable",
     "RegexPatternVariable",
diff --git a/torch/_dynamo/variables/functions.py b/torch/_dynamo/variables/functions.py
index 8f1220193799..6f220a614ae9 100644
--- a/torch/_dynamo/variables/functions.py
+++ b/torch/_dynamo/variables/functions.py
@@ -927,6 +927,63 @@ class FunctoolsPartialVariable(VariableTracker):
         )
 
 
+class PolyfilledFunctionVariable(VariableTracker):
+    _nonvar_fields = {
+        "fn",
+        *BaseUserFunctionVariable._nonvar_fields,
+    }
+
+    @classmethod
+    @functools.lru_cache(None)
+    def _get_polyfill_handlers(cls):
+        return {}
+
+    @classmethod
+    def create_with_source(cls, value, source):
+        return cls(
+            value,
+            source=source,
+        )
+
+    def __init__(self, fn: VariableTracker, **kwargs) -> None:
+        super().__init__(**kwargs)
+        self.fn = fn
+
+    def get_function(self):
+        return self.as_python_constant()
+
+    def call_function(
+        self,
+        tx: "InstructionTranslator",
+        args: "List[VariableTracker]",
+        kwargs: "Dict[str, VariableTracker]",
+    ) -> "VariableTracker":
+        from torch._dynamo.variables.builder import SourcelessBuilder
+
+        handler = self._get_polyfill_handlers().get(self.fn)
+        if handler:
+            assert callable(handler)
+            return SourcelessBuilder.create(tx, handler).call_function(tx, args, kwargs)
+
+        for candidate in ("__torch_dynamo_polyfill__", "__python_implementation__"):
+            handler = getattr(self.fn, candidate, None)
+            if handler:
+                assert callable(handler)
+                if self.source:
+                    source = AttrSource(self.source, candidate)
+                    return UserFunctionVariable.create_with_source(
+                        handler,
+                        source=source,
+                    ).call_function(tx, args, kwargs)
+                return SourcelessBuilder.create(
+                    tx,
+                    handler,
+                ).call_function(tx, args, kwargs)
+
+    def as_python_constant(self):
+        return self.fn
+
+
 from torch._higher_order_ops.triton_kernel_wrap import TritonHOPifier
 
 
diff --git a/torch/compiler/__init__.py b/torch/compiler/__init__.py
index 812bbaa4c660..5f386215374a 100644
--- a/torch/compiler/__init__.py
+++ b/torch/compiler/__init__.py
@@ -1,12 +1,15 @@
 # mypy: allow-untyped-defs
+from typing import Any, Callable, List, TypeVar
+
 import torch
-from typing import List
+
 
 __all__ = [
     "compile",
     "assume_constant_result",
     "reset",
     "allow_in_graph",
+    "substitute_in_graph",
     "list_backends",
     "disable",
     "cudagraph_mark_step_begin",
@@ -15,12 +18,17 @@ __all__ = [
     "is_dynamo_compiling",
 ]
 
+
+_F = TypeVar("_F", bound=Callable[..., Any])
+
+
 def compile(*args, **kwargs):
     """
     See :func:`torch.compile` for details on the arguments for this function.
     """
     return torch.compile(*args, **kwargs)
 
+
 def reset() -> None:
     """
     This function clears all compilation caches and restores the system to its initial state.
@@ -31,6 +39,7 @@ def reset() -> None:
 
     torch._dynamo.reset()
 
+
 def allow_in_graph(fn):
     """
     Tells the compiler frontend (Dynamo) to skip symbolic introspection of the function
@@ -111,6 +120,54 @@ def allow_in_graph(fn):
     return torch._dynamo.allow_in_graph(fn)
 
 
+def substitute_in_graph(original_fn: _F) -> Callable[[_F], _F]:
+    """
+    Register a polyfill handler for a function, usually a C function from the C extension, to be
+    used in place of the original function when inlining the original function in the graph.
+
+    .. note::
+
+        The polyfill handler is only used when inlining the original function. It is not used when
+        the original function is called directly. In the eager mode, the decorated function calls
+        the performant C function rather than the polyfill handler.
+
+    The polyfill handler is a function that will be called in place of the original function when
+    inlining the original function. The polyfill handler should have the same signature and the same
+    behavior as the original function.
+
+    Args:
+        original_fn (callable): The original function, usually a C function, to register a polyfill
+            handler for.
+
+    Returns:
+        A decorator that registers the polyfill handler for the original function.
+
+    Example::
+
+        >>> import operator
+        >>> operator.indexOf([1, 2, 3, 4, 5], 3)
+        2
+        >>> torch.compile(operator.indexOf, fullgraph=True)([1, 2, 3, 4, 5], 3)
+        ... # xdoctest: +SKIP("Long tracebacks")
+        Traceback (most recent call last):
+        ...
+        torch._dynamo.exc.Unsupported: ...
+
+        >>> @torch.compiler.substitute_in_graph(operator.indexOf)
+        ... def indexOf(a, b, /):
+        ...     for i, item in enumerate(a):
+        ...         if item is b or item == b:
+        ...             return i
+        ...     raise ValueError("sequence.index(x): x not in sequence")
+        >>>
+        >>> torch.compile(operator.indexOf, fullgraph=True)([1, 2, 3, 4, 5], 3)
+        2
+    """
+    import torch._dynamo
+
+    return torch._dynamo.substitute_in_graph(original_fn)
+
+
 def list_backends(exclude_tags=("debug", "experimental")) -> List[str]:
     """
     Return valid strings that can be passed to `torch.compile(..., backend="name")`.
@@ -122,6 +179,7 @@ def list_backends(exclude_tags=("debug", "experimental")) -> List[str]:
 
     return torch._dynamo.list_backends(exclude_tags)
 
+
 def assume_constant_result(fn):
     """
     This function is used to mark a function `fn` as having a constant result.
@@ -140,6 +198,7 @@ def assume_constant_result(fn):
 
     return torch._dynamo.assume_constant_result(fn)
 
+
 def disable(fn=None, recursive=True):
     """
     This function provides both a decorator and a context manager to disable compilation on a function
@@ -153,6 +212,7 @@ def disable(fn=None, recursive=True):
 
     return torch._dynamo.disable(fn, recursive)
 
+
 def cudagraph_mark_step_begin():
     """
     Indicates that a new iteration of inference or training is about to begin.
@@ -178,6 +238,7 @@ def cudagraph_mark_step_begin():
 
     cudagraph_trees.mark_step_begin()
 
+
 def wrap_numpy(fn):
     r"""Decorator that turns a function from ``np.ndarray``s to ``np.ndarray``s into a function
     from ``torch.Tensor``s to ``torch.Tensor``s.
@@ -206,10 +267,13 @@ def wrap_numpy(fn):
         tensor([ 0.,  2.,  4.,  6.,  8., 10.], device='cuda:0')
     """
     from torch._dynamo.external_utils import wrap_numpy as wrap
+
     return wrap(fn)
 
+
 _is_compiling_flag: bool = False
 
+
 def is_compiling() -> bool:
     """
     Indicates whether a graph is executed/traced as part of torch.compile() or torch.export().
@@ -231,6 +295,7 @@ def is_compiling() -> bool:
     else:
         return _is_compiling_flag
 
+
 def is_dynamo_compiling() -> bool:
     """
     Indicates whether a graph is traced via TorchDynamo.