diff --git a/pytype/overlays/functools_overlay.py b/pytype/overlays/functools_overlay.py
index bddb67709..dfc8e044e 100644
--- a/pytype/overlays/functools_overlay.py
+++ b/pytype/overlays/functools_overlay.py
@@ -55,7 +55,12 @@ def new_slot(
         self.ctx,
         node,
         new.to_variable(node),
-        function.Args((cls, *args), kwargs),
+        function.Args(
+            (cls, *args),
+            kwargs,
+            call_context.starargs,
+            call_context.starstarargs,
+        ),
         fallback_to_unsolvable=False,
     )
     [specialized_obj] = specialized_obj.data
@@ -66,7 +71,7 @@ def new_slot(
     return node, obj.to_variable(node)
 
   def get_own_new(self, node, value) -> tuple[cfg.CFGNode, cfg.Variable]:
-    new = abstract.NativeFunction("__new__", self.new_slot, self.ctx)
+    new = NativeFunction("__new__", self.new_slot, self.ctx)
     return node, new.to_variable(node)
 
 
@@ -76,6 +81,8 @@ def bind_partial(node, cls, args, kwargs, ctx) -> BoundPartial:
   obj.underlying = args[0]
   obj.args = args[1:]
   obj.kwargs = kwargs
+  obj.starargs = call_context.starargs
+  obj.starstarargs = call_context.starstarargs
   return obj
 
 
@@ -146,6 +153,8 @@ class BoundPartial(abstract.Instance, mixin.HasSlots):
   underlying: cfg.Variable
   args: tuple[cfg.Variable, ...]
   kwargs: dict[str, cfg.Variable]
+  starargs: cfg.Variable | None
+  starstarargs: cfg.Variable | None
 
   def __init__(self, ctx, cls, container=None):
     super().__init__(cls, ctx, container)
@@ -156,7 +165,9 @@ def __init__(self, ctx, cls, container=None):
 
   def get_signatures(self) -> Sequence[function.Signature]:
     sigs = []
-    args = function.Args(posargs=self.args, namedargs=self.kwargs)
+    args = function.Args(
+        self.args, self.kwargs, self.starargs, self.starstarargs
+    )
     for data in self.underlying.data:
       for sig in function.get_signatures(data):
         # Use the partial arguments as defaults in the signature, making them
@@ -196,6 +207,25 @@ def get_signatures(self) -> Sequence[function.Signature]:
     return sigs
 
   def call_slot(self, node: cfg.CFGNode, *args, **kwargs):
+    if self.starargs and call_context.starargs:
+      combined_starargs = self.ctx.convert.build_tuple(
+          node,
+          (
+              abstract.Splat(self.ctx, self.starargs).to_variable(node),
+              abstract.Splat(self.ctx, call_context.starargs).to_variable(node),
+          ),
+      )
+    else:
+      combined_starargs = call_context.starargs or self.starargs
+
+    if self.starstarargs and call_context.starstarargs:
+      d = abstract.Dict(self.ctx)
+      d.update(node, self.starstarargs.data[0])  # pytype: disable=attribute-error
+      d.update(node, call_context.starstarargs.data[0])
+      combined_starstarargs = d.to_variable(node)
+    else:
+      combined_starstarargs = call_context.starstarargs or self.starstarargs
+
     return function.call_function(
         self.ctx,
         node,
@@ -203,8 +233,8 @@ def call_slot(self, node: cfg.CFGNode, *args, **kwargs):
         function.Args(
             (*self.args, *args),
             {**self.kwargs, **kwargs},
-            call_context.starargs,
-            call_context.starstarargs,
+            combined_starargs,
+            combined_starstarargs,
         ),
         fallback_to_unsolvable=False,
     )
diff --git a/pytype/tests/test_functions1.py b/pytype/tests/test_functions1.py
index 3824e4d24..560f1ab76 100644
--- a/pytype/tests/test_functions1.py
+++ b/pytype/tests/test_functions1.py
@@ -1079,7 +1079,18 @@ def f(a, b=None):
       partial_f(0)
     """)
 
-  def test_functools_partial_with_starstar(self):
+  def test_functools_partial_starstar(self):
+    self.Check("""
+      import functools
+      def f(*, a: str, b: int):
+        pass
+
+      def test(**kwargs):
+        partial_f = functools.partial(f, **kwargs)
+        partial_f()
+    """)
+
+  def test_functools_partial_called_with_starstar(self):
     self.Check("""
       import functools
       def f(a: str, b: int, c: list):
@@ -1090,6 +1101,28 @@ def test(**kwargs):
         partial_f(42, **kwargs)
     """)
 
+  def test_functools_star_everywhere(self):
+    self.Check("""
+      import functools
+      def f(a: str, b: int):
+        pass
+
+      def test(args, extra_args):
+        partial_f = functools.partial(f, *args)
+        partial_f(*extra_args)
+    """)
+
+  def test_functools_starstar_everywhere(self):
+    self.Check("""
+      import functools
+      def f(*, a: str, b: int):
+        pass
+
+      def test(**kwargs):
+        partial_f = functools.partial(f, **kwargs)
+        partial_f(**kwargs)
+    """)
+
   def test_functools_partial_overloaded(self):
     self.Check("""
       import functools