diff --git a/test/test_python_errors.py b/test/test_python_errors.py
new file mode 100644
index 0000000..50406f2
--- /dev/null
+++ b/test/test_python_errors.py
@@ -0,0 +1,42 @@
+"""
+Testing if parso finds syntax errors and indentation errors.
+"""
+
+import pytest
+
+import parso
+from parso.python.normalizer import ErrorFinderConfig
+
+def _get_error_list(code, version=None):
+    grammar = parso.load_grammar(version)
+    tree = grammar.parse(code)
+    config = ErrorFinderConfig()
+    return list(tree._get_normalizer_issues(config))
+
+
+@pytest.mark.parametrize(
+    ('code', 'positions'), [
+        ('1 +', [(1, 3)]),
+        ('1 +\n', [(1, 3)]),
+        ('1 +\n2 +', [(1, 3), (2, 3)]),
+        ('x + 2', []),
+        ('[\n', [(2, 0)]),
+        ('[\ndef x(): pass', [(2, 0)]),
+        ('[\nif 1: pass', [(2, 0)]),
+        ('1+?', [(1, 2)]),
+        ('?', [(1, 0)]),
+        ('??', [(1, 0)]),
+        ('? ?', [(1, 0)]),
+        ('?\n?', [(1, 0)]),
+        ('? * ?', [(1, 0)]),
+        ('1 + * * 2', [(1, 4)]),
+        ('?\n1\n?', [(1, 0), (3, 0)]),
+    ]
+)
+def test_syntax_errors(code, positions):
+    errors = [(error.start_pos, error.code) for error in _get_error_list(code)]
+    assert [(pos, 901) for pos in positions] == errors
+
+
+def test_indentation_errors():
+    pass