diff --git a/src/formatron/schemas/json_schema.py b/src/formatron/schemas/json_schema.py
index 9e826ec..9ab26eb 100644
--- a/src/formatron/schemas/json_schema.py
+++ b/src/formatron/schemas/json_schema.py
@@ -158,11 +158,11 @@ def _infer_type(schema: dict[str, typing.Any], json_schema_id_to_schema: dict[in
         return _handle_anyOf(schema, json_schema_id_to_schema)
     obtained_type = _obtain_type(schema, json_schema_id_to_schema)
     args = typing.get_args(obtained_type)
-    if obtained_type is None or obtained_type is object or object in args:
+    if obtained_type is None:
+        obtained_type = typing.Union[str, float, int, bool, None, list[typing.Any]]
+    if obtained_type is object or object in args:
         obtained_type = _create_custom_type(obtained_type, schema, json_schema_id_to_schema)
-    if obtained_type is list and "items" in schema:
-        item_type = _convert_json_schema_to_our_schema(schema["items"], json_schema_id_to_schema)
-        obtained_type = list[item_type]
+    obtained_type = _handle_list_and_union(obtained_type, schema, json_schema_id_to_schema)
     json_schema_id_to_schema[id(schema)] = obtained_type
     return obtained_type
 
@@ -188,14 +188,27 @@ def _create_custom_type(obtained_type: typing.Type|None, schema: dict[str, typin
     })
     _counter += 1
     
-    if obtained_type is None:
-        json_schema_id_to_schema[id(schema)] = typing.Union[str, float, int, bool, None, list[typing.Any], new_type]
-    elif object in typing.get_args(obtained_type):
+    if object in typing.get_args(obtained_type):
         json_schema_id_to_schema[id(schema)] = typing.Union[tuple(item for item in typing.get_args(obtained_type) if item is not object)+(new_type,)]
     else:
         json_schema_id_to_schema[id(schema)] = new_type
     return json_schema_id_to_schema[id(schema)]
 
+def _handle_list_and_union(obtained_type: typing.Type, schema: dict[str, typing.Any], json_schema_id_to_schema: dict[int, typing.Type]) -> typing.Type:
+    """
+    Handle cases where the obtained type is a list or a union containing a list.
+    """
+    if obtained_type is list or (typing.get_origin(obtained_type) is typing.Union and list in typing.get_args(obtained_type)):
+        if "items" in schema:
+            item_type = _convert_json_schema_to_our_schema(schema["items"], json_schema_id_to_schema)
+            if obtained_type is list:
+                return list[item_type]
+            else:
+                args = typing.get_args(obtained_type)
+                new_args = tuple(list[item_type] if arg is list else arg for arg in args)
+                return typing.Union[new_args]
+    return obtained_type
+
 
 def _obtain_type(schema: dict[str, typing.Any], json_schema_id_to_schema:dict[int, typing.Type]) -> typing.Type[typing.Any|None]:
     """
diff --git a/tests/snapshots/snap_test_grammar_gen.py b/tests/snapshots/snap_test_grammar_gen.py
index 5c564db..e82899b 100644
--- a/tests/snapshots/snap_test_grammar_gen.py
+++ b/tests/snapshots/snap_test_grammar_gen.py
@@ -36,9 +36,9 @@
 start_concepts_value ::= string;
 start_related_queries ::= array_begin (start_related_queries_value (comma start_related_queries_value)*)? array_end;
 start_related_queries_value ::= start_related_queries_value_0 | start_related_queries_value_1;
-start_related_queries_value_1 ::= object_begin \'"foo"\' colon start_related_queries_value_1_foo object_end;
-start_related_queries_value_1_foo ::= integer;
-start_related_queries_value_0 ::= string;
+start_related_queries_value_1 ::= string;
+start_related_queries_value_0 ::= object_begin \'"foo"\' colon start_related_queries_value_0_foo object_end;
+start_related_queries_value_0_foo ::= integer;
 start_queries ::= array_begin (start_queries_value (comma start_queries_value)*)? array_end;
 start_queries_value ::= start_queries_value_0 | start_queries_value_1 | start_queries_value_2;
 start_queries_value_2 ::= boolean;
@@ -574,5 +574,6 @@
 start_1_age ::= start_1_age_required?;
 start_1_age_required ::= integer;
 start_1_name ::= string;
-start_0 ::= array;
+start_0 ::= array_begin (start_0_value (comma start_0_value)*)? array_end;
+start_0_value ::= string;
 '''