diff --git a/CHANGES.md b/CHANGES.md
index 674ef1f..712d156 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -6,6 +6,9 @@ releases are available on [conda-forge](https://anaconda.org/conda-forge/dags).
 
 ## 0.5.0
 
+- :gh:`77` Fix `decorator_rename_arguments` by calling `get_free_arguments` inside the
+  decorator (:ghuser:`hmgaudecker`).
+
 - :gh:`76` Add a couple of tests to bring coverage to 100% (:ghuser:`hmgaudecker`).
 
 - :gh:`75` Streamline public API (:ghuser:`hmgaudecker`).
diff --git a/src/dags/signature.py b/src/dags/signature.py
index 0392968..1f46ac6 100644
--- a/src/dags/signature.py
+++ b/src/dags/signature.py
@@ -3,9 +3,9 @@
 import functools
 import inspect
 from collections.abc import Callable, Mapping, Sequence
-from typing import Any, cast, overload
+from typing import Any, overload
 
-from dags.annotations import get_annotations
+from dags.annotations import get_annotations, get_free_arguments
 from dags.exceptions import DagsError, InvalidFunctionArgumentsError
 from dags.typing import P, R
 
@@ -230,7 +230,12 @@ def rename_arguments(  # noqa: C901
 
     def decorator_rename_arguments(func: Callable[P, R]) -> Callable[..., R]:
         old_signature = inspect.signature(func)
-        old_parameters: dict[str, inspect.Parameter] = dict(old_signature.parameters)
+        free_arguments = set(get_free_arguments(func))
+        old_parameters: dict[str, inspect.Parameter] = {
+            name: param
+            for name, param in old_signature.parameters.items()
+            if name in free_arguments
+        }
         old_annotations = get_annotations(func)
 
         parameters: list[inspect.Parameter] = []
@@ -271,16 +276,7 @@ def wrapper_rename_arguments(*args: P.args, **kwargs: P.kwargs) -> R:
         wrapper_rename_arguments.__signature__ = signature  # ty: ignore[unresolved-attribute]
         wrapper_rename_arguments.__annotations__ = annotations
 
-        # Preserve function type
-        if isinstance(func, functools.partial):
-            partial_wrapper = functools.partial(
-                wrapper_rename_arguments, *func.args, **func.keywords
-            )
-            out = cast("Callable[P, R]", partial_wrapper)
-        else:
-            out = wrapper_rename_arguments
-
-        return out
+        return wrapper_rename_arguments
 
     if func is not None:
         return decorator_rename_arguments(func)
diff --git a/tests/test_signature.py b/tests/test_signature.py
index f9d8684..2822cf9 100644
--- a/tests/test_signature.py
+++ b/tests/test_signature.py
@@ -1,6 +1,7 @@
 # Required because tests assert that annotations are strings.
 from __future__ import annotations
 
+import functools
 import inspect
 
 import pytest
@@ -245,3 +246,57 @@ def test_with_signature_invalid_args_type_int() -> None:
         @with_signature(args=42)  # type: ignore[arg-type]
         def f(*args, **kwargs):
             pass
+
+
+def test_rename_arguments_partial_with_positional_bound_arg() -> None:
+    def f(a, b):
+        return a + b
+
+    p = functools.partial(f, 1)
+    renamed = rename_arguments(p, mapper={"b": "x"})
+    assert renamed(x=2) == 3
+
+
+def test_rename_arguments_partial_with_keyword_bound_arg() -> None:
+    def f(a, b):
+        return a * b
+
+    p = functools.partial(f, b=10)
+    renamed = rename_arguments(p, mapper={"a": "x"})
+    assert renamed(x=5) == 50
+
+
+def test_rename_arguments_partial_positional_call() -> None:
+    def f(a, b):
+        return f"{a}-{b}"
+
+    p = functools.partial(f, "hello")
+    renamed = rename_arguments(p, mapper={"b": "x"})
+    assert renamed("world") == "hello-world"
+
+
+def test_rename_arguments_partial_bound_arg_not_in_mapper() -> None:
+    def f(a, b, c):
+        return a + b + c
+
+    p = functools.partial(f, 100)
+    renamed = rename_arguments(p, mapper={"b": "x"})
+    assert renamed(x=20, c=3) == 123
+
+
+def test_rename_arguments_partial_multiple_bound_args() -> None:
+    def f(a, b, c):
+        return a + b + c
+
+    p = functools.partial(f, 10, c=30)
+    renamed = rename_arguments(p, mapper={"b": "y"})
+    assert renamed(y=20) == 60
+
+
+def test_rename_arguments_decorator_on_partial() -> None:
+    def f(a, b):
+        return a + b
+
+    p = functools.partial(f, 1)
+    renamed = rename_arguments(mapper={"b": "x"})(p)
+    assert renamed(x=2) == 3