diff --git a/pydantic_core/core_schema.py b/pydantic_core/core_schema.py
index fef7194f72..80f8536731 100644
--- a/pydantic_core/core_schema.py
+++ b/pydantic_core/core_schema.py
@@ -3065,6 +3065,7 @@ class CallSchema(TypedDict, total=False):
     type: Required[Literal['call']]
     arguments_schema: Required[CoreSchema]
     function: Required[Callable[..., Any]]
+    function_name: str  # default function.__name__
     return_schema: CoreSchema
     ref: str
     metadata: Any
@@ -3075,6 +3076,7 @@ def call_schema(
     arguments: CoreSchema,
     function: Callable[..., Any],
     *,
+    function_name: str | None = None,
     return_schema: CoreSchema | None = None,
     ref: str | None = None,
     metadata: Any = None,
@@ -3106,6 +3108,7 @@ def call_schema(
     Args:
         arguments: The arguments to use for the arguments schema
         function: The function to use for the call schema
+        function_name: The function name to use for the call schema, if not provided `function.__name__` is used
         return_schema: The return schema to use for the call schema
         ref: optional unique identifier of the schema, used to reference the schema in other places
         metadata: Any other information you want to include with the schema, not used by pydantic-core
@@ -3115,6 +3118,7 @@ def call_schema(
         type='call',
         arguments_schema=arguments,
         function=function,
+        function_name=function_name,
         return_schema=return_schema,
         ref=ref,
         metadata=metadata,
diff --git a/src/validators/call.rs b/src/validators/call.rs
index 0632288a77..8e92f0b376 100644
--- a/src/validators/call.rs
+++ b/src/validators/call.rs
@@ -37,7 +37,22 @@ impl BuildValidator for CallValidator {
             None => None,
         };
         let function: &PyAny = schema.get_as_req(intern!(py, "function"))?;
-        let function_name: &str = function.getattr(intern!(py, "__name__"))?.extract()?;
+        let function_name: &str = match schema.get_as(intern!(py, "function_name"))? {
+            Some(name) => name,
+            None => {
+                match function.getattr(intern!(py, "__name__")) {
+                    Ok(name) => name.extract()?,
+                    Err(_) => {
+                        // partials we use `function.func.__name__`
+                        if let Ok(func) = function.getattr(intern!(py, "func")) {
+                            func.getattr(intern!(py, "__name__"))?.extract()?
+                        } else {
+                            "<unknown>"
+                        }
+                    }
+                }
+            }
+        };
         let name = format!("{}[{function_name}]", Self::EXPECTED_TYPE);
 
         Ok(Self {
diff --git a/tests/validators/test_call.py b/tests/validators/test_call.py
index dd30aca627..52ee7525d4 100644
--- a/tests/validators/test_call.py
+++ b/tests/validators/test_call.py
@@ -1,6 +1,7 @@
 import dataclasses
 import re
 from collections import namedtuple
+from functools import partial
 
 import pytest
 
@@ -178,3 +179,45 @@ def test_named_tuple():
     assert isinstance(d, Point)
     assert d.x == 1.1
     assert d.y == 2.2
+
+
+def test_function_call_partial():
+    def my_function(a, b, c):
+        return a + b + c
+
+    v = SchemaValidator(
+        {
+            'type': 'call',
+            'function': partial(my_function, c=3),
+            'arguments_schema': {
+                'type': 'arguments',
+                'arguments_schema': [
+                    {'name': 'a', 'mode': 'positional_or_keyword', 'schema': {'type': 'int'}},
+                    {'name': 'b', 'mode': 'positional_or_keyword', 'schema': {'type': 'int'}},
+                ],
+            },
+        }
+    )
+    assert 'name:"call[my_function]"' in plain_repr(v)
+    assert v.validate_python((1, 2)) == 6
+    assert v.validate_python((1, '2')) == 6
+
+
+def test_custom_name():
+    def my_function(a):
+        return a
+
+    v = SchemaValidator(
+        {
+            'type': 'call',
+            'function': my_function,
+            'function_name': 'foobar',
+            'arguments_schema': {
+                'type': 'arguments',
+                'arguments_schema': [{'name': 'a', 'mode': 'positional_or_keyword', 'schema': {'type': 'int'}}],
+            },
+        }
+    )
+    assert 'name:"call[foobar]"' in plain_repr(v)
+    assert v.validate_python((1,)) == 1
+    assert v.validate_python(('2',)) == 2