diff --git a/python/plugins/processing/tests/AlgorithmsTestBase.py b/python/plugins/processing/tests/AlgorithmsTestBase.py
index b45efc3fc05..30bf00e7c90 100644
--- a/python/plugins/processing/tests/AlgorithmsTestBase.py
+++ b/python/plugins/processing/tests/AlgorithmsTestBase.py
@@ -340,13 +340,19 @@ class AlgorithmsTest(object):
                 compare = expected_result.get('compare', {})
                 pk = expected_result.get('pk', None)
                 topo_equal_check = expected_result.get('topo_equal_check', False)
+                ignore_part_order = expected_result.get('ignore_part_order', False)
+
+                geom_config = {
+                    'topo_equal_check': topo_equal_check,
+                    'ignore_part_order': ignore_part_order
+                }
 
                 if len(expected_lyrs) == 1:
-                    self.assertLayersEqual(expected_lyrs[0], result_lyr, compare=compare, pk=pk, geometry={'topo_equal_check': topo_equal_check})
+                    self.assertLayersEqual(expected_lyrs[0], result_lyr, compare=compare, pk=pk, geometry=geom_config)
                 else:
                     res = False
                     for l in expected_lyrs:
-                        if self.checkLayersEqual(l, result_lyr, compare=compare, pk=pk, geometry={'topo_equal_check': topo_equal_check}):
+                        if self.checkLayersEqual(l, result_lyr, compare=compare, pk=pk, geometry=geom_config):
                             res = True
                             break
                     self.assertTrue(res, 'Could not find matching layer in expected results')
diff --git a/python/testing/__init__.py b/python/testing/__init__.py
index 40a2631cebc..eb05590f8c3 100644
--- a/python/testing/__init__.py
+++ b/python/testing/__init__.py
@@ -116,6 +116,11 @@ class TestCase(_TestCase):
         except KeyError:
             topo_equal_check = False
 
+        try:
+            ignore_part_order = compare['geometry']['ignore_part_order']
+        except KeyError:
+            ignore_part_order = False
+
         try:
             unordered = compare['unordered']
         except KeyError:
@@ -128,7 +133,7 @@ class TestCase(_TestCase):
                 for feat_expected in features_expected:
                     if self.checkGeometriesEqual(feat.geometry(), feat_expected.geometry(),
                                                  feat.id(), feat_expected.id(),
-                                                 False, precision, topo_equal_check) and \
+                                                 False, precision, topo_equal_check, ignore_part_order) and \
                        self.checkAttributesEqual(feat, feat_expected, layer_expected.fields(), False, compare):
                         feat_expected_equal = feat_expected
                         break
@@ -181,7 +186,7 @@ class TestCase(_TestCase):
                                            feats[1].geometry(),
                                            feats[0].id(),
                                            feats[1].id(),
-                                           use_asserts, precision, topo_equal_check)
+                                           use_asserts, precision, topo_equal_check, ignore_part_order)
             if not eq and not use_asserts:
                 return False
 
@@ -217,20 +222,21 @@ class TestCase(_TestCase):
 
         _check_dirs_equal_recursive(dc)
 
-    def assertGeometriesEqual(self, geom0, geom1, geom0_id='geometry 1', geom1_id='geometry 2', precision=14, topo_equal_check=False):
-        self.checkGeometriesEqual(geom0, geom1, geom0_id, geom1_id, use_asserts=True, precision=precision, topo_equal_check=topo_equal_check)
+    def assertGeometriesEqual(self, geom0, geom1, geom0_id='geometry 1', geom1_id='geometry 2', precision=14, topo_equal_check=False, ignore_part_order=False):
+        self.checkGeometriesEqual(geom0, geom1, geom0_id, geom1_id, use_asserts=True, precision=precision, topo_equal_check=topo_equal_check, ignore_part_order=ignore_part_order)
 
-    def checkGeometriesEqual(self, geom0, geom1, geom0_id, geom1_id, use_asserts=False, precision=14, topo_equal_check=False):
+    def checkGeometriesEqual(self, geom0, geom1, geom0_id, geom1_id, use_asserts=False, precision=14, topo_equal_check=False, ignore_part_order=False):
         """ Checks whether two geometries are the same - using either a strict check of coordinates (up to given precision)
         or by using topological equality (where e.g. a polygon with clockwise is equal to a polygon with counter-clockwise
         order of vertices)
         .. versionadded:: 3.2
         """
         if not geom0.isNull() and not geom1.isNull():
-            if topo_equal_check:
+            equal = geom0.constGet().asWkt(precision) == geom1.constGet().asWkt(precision)
+            if not equal and topo_equal_check:
                 equal = geom0.isGeosEqual(geom1)
-            else:
-                equal = geom0.constGet().asWkt(precision) == geom1.constGet().asWkt(precision)
+            if not equal and ignore_part_order and geom0.isMultipart():
+                equal = sorted([p.asWkt(precision) for p in geom0.constParts()]) == sorted([p.asWkt(precision) for p in geom1.constParts()])
         elif geom0.isNull() and geom1.isNull():
             equal = True
         else: