diff --git a/jedi/inference/gradual/typing.py b/jedi/inference/gradual/typing.py
index 6b3e675b..189fe997 100644
--- a/jedi/inference/gradual/typing.py
+++ b/jedi/inference/gradual/typing.py
@@ -342,6 +342,18 @@ class Tuple(BaseTypingValueWithGenerics):
         from jedi.inference.gradual.annotation import merge_pairwise_generics, merge_type_var_dicts
         from jedi.inference.gradual.base import GenericClass
 
+        value_set = value_set.filter(
+            lambda x: x.py__name__().lower() == 'tuple',
+        )
+
+        # Somewhat unusually, this `infer_type_vars` method is on an instance
+        # representation of a type, rather than the annotation or class
+        # representation. This means that as a starting point, we need to
+        # convert the incoming values to their instance style if they're
+        # classes, rather than the reverse.
+        if is_class_value:
+            value_set = value_set.execute_annotation()
+
         if self._is_homogenous():
             # The parameter annotation is of the form `Tuple[T, ...]`,
             # so we treat the incoming tuple like a iterable sequence
@@ -358,8 +370,11 @@ class Tuple(BaseTypingValueWithGenerics):
 
             type_var_dict = {}
             for element in value_set:
-                py_class = element.get_annotated_class_object()
-                if not isinstance(py_class, GenericClass):
+                if not is_class_value:
+                    py_class = element.get_annotated_class_object()
+                    if not isinstance(py_class, GenericClass):
+                        py_class = element
+                else:
                     py_class = element
 
                 merge_type_var_dicts(
diff --git a/test/completion/pep0484_generic_mismatches.py b/test/completion/pep0484_generic_mismatches.py
index fbd3c55a..c848dd10 100644
--- a/test/completion/pep0484_generic_mismatches.py
+++ b/test/completion/pep0484_generic_mismatches.py
@@ -33,6 +33,7 @@ tpl_typed = ("2", 3)  # type: Tuple[str, int]
 collection = {"a": 1}
 collection_typed = {"a": 1}  # type: Dict[str, int]
 
+list_of_ints = [42]  # type: List[int]
 list_of_funcs = [foo]  # type: List[Callable[[T], T]]
 
 custom_generic = CustomGeneric(123.45)
@@ -319,3 +320,21 @@ x7
 for a in list_t_to_list_t(12):
     #?
     a
+
+
+def list_tuple_t_to_tuple_list_t(the_list: List[Tuple[T]]) -> Tuple[List[T], ...]:
+    return tuple(list(x) for x in the_list)
+
+
+for b in list_tuple_t_to_tuple_list_t(list_of_ints):
+    #?
+    b[0]
+
+
+def list_tuple_t_elipsis_to_tuple_list_t(the_list: List[Tuple[T, ...]]) -> Tuple[List[T], ...]:
+    return tuple(list(x) for x in the_list)
+
+
+for b in list_tuple_t_to_tuple_list_t(list_of_ints):
+    #?
+    b[0]
diff --git a/test/completion/pep0484_generic_parameters.py b/test/completion/pep0484_generic_parameters.py
index 4f0f0d1f..9edcd061 100644
--- a/test/completion/pep0484_generic_parameters.py
+++ b/test/completion/pep0484_generic_parameters.py
@@ -80,6 +80,29 @@ for c2, in list_t_to_list_tuple_t(list_of_ints):
     c2
 
 
+# Test handling of nested tuple input parameters
+def list_tuple_t_to_tuple_list_t(the_list: List[Tuple[T]]) -> Tuple[List[T], ...]:
+    return tuple(list(x) for x in the_list)
+
+
+list_of_int_tuples = [(x,) for x in list_of_ints]  # type: List[Tuple[int]]
+
+for b in list_tuple_t_to_tuple_list_t(list_of_int_tuples):
+    #? int()
+    b[0]
+
+
+def list_tuple_t_elipsis_to_tuple_list_t(the_list: List[Tuple[T, ...]]) -> Tuple[List[T], ...]:
+    return tuple(list(x) for x in the_list)
+
+
+list_of_int_tuple_elipsis = [tuple(list_of_ints)]  # type: List[Tuple[int, ...]]
+
+for b in list_tuple_t_elipsis_to_tuple_list_t(list_of_int_tuple_elipsis):
+    #? int()
+    b[0]
+
+
 # Test handling of nested callables
 def foo(x: int) -> int:
     return x