diff --git a/pyproject.toml b/pyproject.toml
index 92b4a4a..16382d5 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,7 +1,7 @@
 [project]
 name = "with-argparse"
 description = "A simple but handy Python library to generate a `argparse.ArgumentParser` object from a type-annotated method "
-version = "1.0.1"
+version = "1.0.2"
 license = {text = "Apache 2.0"}
 readme = "README.md"
 
diff --git a/test/test_argparse.py b/test/test_argparse.py
index 6e756c4..53834ee 100644
--- a/test/test_argparse.py
+++ b/test/test_argparse.py
@@ -1,12 +1,26 @@
+import logging
 import unittest
 from typing import Optional, Set
 
 from tools import sys_args, foreach
 from with_argparse import with_argparse
 
+logging.basicConfig(
+    level="DEBUG"
+)
+
 
 class ArgparseTestCase(unittest.TestCase):
 
+    def test_multi_type_union(self):
+        @with_argparse
+        def func(inp: int | float):
+            return inp
+
+        value = 123.456
+        with sys_args(inp=value):
+            self.assertEqual(value, func())
+
     def test_python3_11_type_union(self):
         @with_argparse
         def func(inp: int | None):
diff --git a/with_argparse/configure_argparse.py b/with_argparse/configure_argparse.py
index c5343d0..fe3c29f 100644
--- a/with_argparse/configure_argparse.py
+++ b/with_argparse/configure_argparse.py
@@ -5,13 +5,14 @@
 import warnings
 from argparse import ArgumentParser
 from dataclasses import dataclass, MISSING
+from functools import partial
 from pathlib import Path
-from types import NoneType, UnionType, GenericAlias
+from types import NoneType, UnionType
 from typing import (
     Any, Set, List, get_origin, get_args, Union, Literal, Optional, Sequence, TypeVar, Iterable,
     Callable, MutableMapping, Mapping
 )
-from with_argparse.utils import glob_to_path_list, flatten
+from with_argparse.utils import flatten, glob_to_paths
 
 SET_TYPES = {set, Set}
 LIST_TYPES = {list, List}
@@ -128,6 +129,7 @@ def _call_dataclass(self, args: Sequence[Any], kwargs: Mapping[str, Any]):
 
         parsed_args = self.argparse.parse_args()
         args_dict = self._apply_name_mapping(parsed_args.__dict__, None)
+        args_dict = self._apply_post_parse_conversions(args_dict, dict())
         return self.func(self.dataclass(**args_dict), **kwargs)
 
     def call(self, args: Sequence[Any], kwargs: Mapping[str, Any]):
@@ -235,16 +237,7 @@ def _call_func(self, args: Sequence[Any], kwargs: Mapping[str, Any]):
                 overriden_kwargs[field_name] = kwargs[field_name]
 
         args_dict = self._apply_name_mapping(parsed_args.__dict__, args_dict)
-        for key, conversion_functions in self.post_parse_type_conversions.items():
-            initial_value = args_dict[key]
-            if initial_value is None:
-                args_dict[key] = initial_value
-                continue
-
-            value = initial_value
-            for conversion_func in conversion_functions:
-                value = conversion_func(value)
-            args_dict[key] = value
+        args_dict = self._apply_post_parse_conversions(args_dict, args_dict)
 
         for key, value in overriden_kwargs.items():
             if key in args_dict:
@@ -269,6 +262,25 @@ def _apply_name_mapping(
                 out[key] = value
         return out
 
+    def _apply_post_parse_conversions(
+        self,
+        parsed_args: Mapping[str, Any],
+        out: MutableMapping[str, Any] | None
+    ) -> MutableMapping[str, Any]:
+        out = out or dict()
+        out.update(parsed_args)
+        for key, conversion_functions in self.post_parse_type_conversions.items():
+            initial_value = parsed_args[key]
+            if initial_value is None:
+                out[key] = initial_value
+                continue
+
+            value = initial_value
+            for conversion_func in conversion_functions:
+                value = conversion_func(value)
+            out[key] = value
+        return out
+
     def _setup_argument(
         self,
         arg_name: str,
@@ -521,7 +533,7 @@ def first_working_inner_type(inp):
         else:
             orig_arg_name = self._resolve_orig_arg_name(arg_name)
             if (
-                arg_type == Path
+                arg_type in {Path, str}
                 and orig_arg_name in self.allow_glob
             ):
                 self._register_post_parse_type_conversion(
@@ -531,7 +543,7 @@ def first_working_inner_type(inp):
 
                 return _Argument(
                     arg_name,
-                    glob_to_path_list,
+                    partial(glob_to_paths, func=arg_type),
                     arg_default,
                     arg_required,
                     False,
diff --git a/with_argparse/impl.py b/with_argparse/impl.py
index 0aa471b..3fb814f 100644
--- a/with_argparse/impl.py
+++ b/with_argparse/impl.py
@@ -52,6 +52,7 @@ def set_config(key: str, state: bool):
 def with_dataclass(
     *,
     dataclass=None,
+    allow_glob: Optional[set[str]] = None,
 ):
     def wrapper(fn):
         @functools.wraps(fn)
@@ -61,6 +62,7 @@ def inner(*inner_args, **inner_kwargs):
 
             parser = WithArgparse(
                 (dataclass, fn),
+                allow_glob=allow_glob,
             )
             return parser.call(inner_args, inner_kwargs)
         return inner
diff --git a/with_argparse/utils.py b/with_argparse/utils.py
index bbfb5b4..b84e759 100644
--- a/with_argparse/utils.py
+++ b/with_argparse/utils.py
@@ -1,11 +1,12 @@
 from glob import glob
 from pathlib import Path
-from typing import Any
+from typing import Any, TypeVar, Callable
 
 
 def flatten(input: list[list[Any]]) -> list[Any]:
     return [a for b in input for a in b]
 
+T = TypeVar('T')
 
-def glob_to_path_list(input: str) -> list[Path]:
-    return list(map(Path, glob(input)))
+def glob_to_paths(inp: str, func: Callable[[str], T]) -> list[T]:
+    return list(map(func, glob(inp)))