diff --git a/mypy/plugins/attrs.py b/mypy/plugins/attrs.py
index 1593c73cd2bfe..75995822417b8 100644
--- a/mypy/plugins/attrs.py
+++ b/mypy/plugins/attrs.py
@@ -734,6 +734,11 @@ def _parse_converter(
             converter_type = converter_expr.node.type
         elif isinstance(converter_expr.node, TypeInfo):
             converter_type = type_object_type(converter_expr.node)
+        elif isinstance(converter_expr.node, Var) and converter_expr.node.type:
+            # The converter is a variable annotated with a callable type.
+            var_type = get_proper_type(converter_expr.node.type)
+            if isinstance(var_type, FunctionLike):
+                converter_type = var_type
     elif (
         isinstance(converter_expr, IndexExpr)
         and isinstance(converter_expr.analyzed, TypeApplication)
@@ -751,6 +756,10 @@ def _parse_converter(
             )
         else:
             converter_type = None
+    elif isinstance(converter_expr, CallExpr):
+        # The converter is the result of a call, e.g. `converter=make_converter(arg)`.
+        # Use the return type of the callee as the converter type.
+        converter_type = _callable_return_type(converter_expr)
 
     if isinstance(converter_expr, LambdaExpr):
         # TODO: should we send a fail if converter_expr.min_args > 1?
@@ -794,6 +803,44 @@ def _parse_converter(
     return converter_info
 
 
+def _callable_return_type(call: CallExpr) -> Type | None:
+    """Return the return type of `call` if it is statically known to be callable.
+
+    This is used to support converters created by higher-order functions, e.g.
+    `converter=make_converter(arg)`. We don't perform full type inference at the
+    call site; we just look at the statically declared return type of the callee.
+    Generic returns are returned as-is and may contain unresolved type variables.
+    """
+    callee = call.callee
+    callee_type: Type | None = None
+    if isinstance(callee, RefExpr) and callee.node:
+        if isinstance(callee.node, (FuncDef, OverloadedFuncDef)):
+            callee_type = callee.node.type
+        elif isinstance(callee.node, Var):
+            callee_type = callee.node.type
+    elif isinstance(callee, CallExpr):
+        # Chained calls like `factory()(arg)`.
+        callee_type = _callable_return_type(callee)
+    if callee_type is None:
+        return None
+    callee_type = get_proper_type(callee_type)
+    if isinstance(callee_type, CallableType):
+        ret = get_proper_type(callee_type.ret_type)
+        if isinstance(ret, FunctionLike):
+            return ret
+    elif isinstance(callee_type, Overloaded):
+        # Without type inference at the call site we can't pick the correct
+        # overload. As a heuristic, take the first overload whose return type is
+        # itself a callable. This matches helpers like `attrs.converters.pipe`
+        # and `attrs.converters.default_if_none`, whose first overload is the
+        # most specific callable form.
+        for item in callee_type.items:
+            ret = get_proper_type(item.ret_type)
+            if isinstance(ret, FunctionLike):
+                return ret
+    return None
+
+
 def is_valid_overloaded_converter(defn: OverloadedFuncDef) -> bool:
     return all(
         (not isinstance(item, Decorator) or isinstance(item.func.type, FunctionLike))
diff --git a/test-data/unit/check-plugin-attrs.test b/test-data/unit/check-plugin-attrs.test
index 5e6dd4d83ce02..fbede1eaa0f7f 100644
--- a/test-data/unit/check-plugin-attrs.test
+++ b/test-data/unit/check-plugin-attrs.test
@@ -942,6 +942,76 @@ class C:
 reveal_type(C)  # N: Revealed type is "def (x: Any, y: Any, z: Any) -> __main__.C"
 [builtins fixtures/list.pyi]
 
+[case testAttrsUsingHigherOrderConverter]
+# Regression test for https://github.com/python/mypy/issues/15736
+from typing import Any, Callable
+from attrs import define, field
+
+def make_converter(_length: int) -> Callable[[str], str]:
+    def converter(val: str) -> str:
+        return val
+    return converter
+
+def make_untyped_converter(_length: int) -> Callable[[Any], Any]:
+    def f(val: Any) -> Any:
+        return val
+    return f
+
+@define
+class C:
+    a: str = field(converter=make_converter(40))
+    b: str = field(converter=make_untyped_converter(40))
+
+reveal_type(C)  # N: Revealed type is "def (a: builtins.str, b: Any) -> __main__.C"
+reveal_type(C("hi", 5).a)  # N: Revealed type is "builtins.str"
+[builtins fixtures/list.pyi]
+
+[case testAttrsUsingCallableVariableConverter]
+from typing import Callable
+from attrs import define, field
+
+def to_str(x: int) -> str:
+    return ""
+my_converter: Callable[[int], str] = to_str
+
+@define
+class C:
+    x: str = field(converter=my_converter)
+
+reveal_type(C)  # N: Revealed type is "def (x: builtins.int) -> __main__.C"
+reveal_type(C(15).x)  # N: Revealed type is "builtins.str"
+[builtins fixtures/list.pyi]
+
+[case testAttrsUsingHigherOrderConverterChainedCall]
+from typing import Callable
+from attrs import define, field
+
+def outer() -> Callable[[int], Callable[[str], str]]:
+    def middle(_n: int) -> Callable[[str], str]:
+        def inner(v: str) -> str:
+            return v
+        return inner
+    return middle
+
+@define
+class C:
+    x: str = field(converter=outer()(40))
+
+reveal_type(C)  # N: Revealed type is "def (x: builtins.str) -> __main__.C"
+[builtins fixtures/list.pyi]
+
+[case testAttrsUsingDefaultIfNoneConverter]
+from typing import Optional
+from attrs import define, field
+from attrs.converters import default_if_none
+
+@define
+class C:
+    x: int = field(default=None, converter=default_if_none(0))
+
+reveal_type(C)  # N: Revealed type is "def (x: Any =) -> __main__.C"
+[builtins fixtures/plugin_attrs.pyi]
+
 [case testAttrsUsingConverterAndSubclass]
 import attr