diff --git a/base/py/engine.py b/base/py/engine.py
index 796c8c3d..5f5bc07c 100644
--- a/base/py/engine.py
+++ b/base/py/engine.py
@@ -14,6 +14,7 @@ import string
 from collections import defaultdict, namedtuple
 from unicodedata import normalize
 
+from hsutil.misc import flatten
 from hsutil.str import multi_replace
 from hsutil import job
 
@@ -260,9 +261,11 @@ class Group(object):
         self._percentage = None
         self._matches_for_ref = None
     
-    def clean_matches(self):
-        self.matches = set(m for m in self.matches if (m.first in self.unordered) and (m.second in self.unordered))
+    def discard_matches(self):
+        discarded = set(m for m in self.matches if not all(obj in self.unordered for obj in [m.first, m.second]))
+        self.matches -= discarded
         self.candidates = defaultdict(set)
+        return discarded
     
     def get_match_of(self, item):
         if item is self.ref:
@@ -286,14 +289,14 @@ class Group(object):
         if ref is not self.ref:
             self.switch_ref(ref)
     
-    def remove_dupe(self, item, clean_matches=True):
+    def remove_dupe(self, item, discard_matches=True):
         try:
             self.ordered.remove(item)
             self.unordered.remove(item)
             self._percentage = None
             self._matches_for_ref = None
             if (len(self) > 1) and any(not getattr(item, 'is_ref', False) for item in self):
-                if clean_matches:
+                if discard_matches:
                     self.matches = set(m for m in self.matches if item not in m)
             else:
                 self._clear()
@@ -354,6 +357,13 @@ def get_groups(matches, j=job.nulljob):
                 dupe2group[first] = target_group
                 dupe2group[second] = target_group
         target_group.add_match(match)
+    # Now that we have a group, we have to discard groups' matches and see if there're any "orphan"
+    # matches, that is, matches that were candidate in a group but that none of their 2 files were
+    # accepted in the group. With these orphan groups, it's safe to build additional groups
+    matched_files = set(flatten(groups))
+    orphan_matches = []
     for group in groups:
-        group.clean_matches()
+        orphan_matches += set(m for m in group.discard_matches() if not any(obj in matched_files for obj in [m.first, m.second]))
+    if groups and orphan_matches:
+        groups += get_groups(orphan_matches) # no job, as it isn't supposed to take a long time
     return groups
diff --git a/base/py/results.py b/base/py/results.py
index 15debc0e..dee24920 100644
--- a/base/py/results.py
+++ b/base/py/results.py
@@ -249,7 +249,7 @@ class Results(Markable):
             else:
                 affected_groups.add(group)
         for group in affected_groups:
-            group.clean_matches()
+            group.discard_matches()
         self.__dupes = None
     
     def save_to_xml(self, outfile):
diff --git a/base/py/tests/engine_test.py b/base/py/tests/engine_test.py
index a9ff33b1..2111618f 100644
--- a/base/py/tests/engine_test.py
+++ b/base/py/tests/engine_test.py
@@ -9,6 +9,8 @@
 
 import sys
 
+from nose.tools import eq_
+
 from hsutil import job
 from hsutil.decorators import log_calls
 from hsutil.testcase import TestCase
@@ -719,12 +721,12 @@ class TCGroup(TestCase):
         self.assert_(g[0] is o1)
         self.assert_(g[1] is o2)
     
-    def test_clean_matches(self):
+    def test_discard_matches(self):
         g = Group()
         o1,o2,o3 = (NamedObject("foo",True),NamedObject("bar",True),NamedObject("baz",True))
         g.add_match(get_match(o1,o2))
         g.add_match(get_match(o1,o3))
-        g.clean_matches()
+        g.discard_matches()
         self.assertEqual(1,len(g.matches))
         self.assertEqual(0,len(g.candidates))
     
@@ -815,3 +817,20 @@ class TCget_groups(TestCase):
         self.assertEqual(0,self.log[0])
         self.assertEqual(100,self.log[-1])
     
+    def test_group_admissible_discarded_dupes(self):
+        # If, with a (A, B, C, D) set, all match with A, but C and D don't match with B and that the
+        # (A, B) match is the highest (thus resulting in an (A, B) group), still match C and D
+        # in a separate group instead of discarding them.
+        A, B, C, D = [NamedObject() for _ in range(4)]
+        m1 = Match(A, B, 90) # This is the strongest "A" match
+        m2 = Match(A, C, 80) # Because C doesn't match with B, it won't be in the group
+        m3 = Match(A, D, 80) # Same thing for D
+        m4 = Match(C, D, 70) # However, because C and D match, they should have their own group.
+        groups = get_groups([m1, m2, m3, m4])
+        eq_(len(groups), 2)
+        g1, g2 = groups
+        assert A in g1
+        assert B in g1
+        assert C in g2
+        assert D in g2
+