diff --git a/leap_net/proxy/proxyLeapNet.py b/leap_net/proxy/proxyLeapNet.py
index 03b2b81..6f6de1c 100644
--- a/leap_net/proxy/proxyLeapNet.py
+++ b/leap_net/proxy/proxyLeapNet.py
@@ -1093,13 +1093,32 @@ def _given_list_topo_encode(self, obs):
                 continue
 
             # so i have a different topology that the reference one
-            lookup = (sub_id, tuple([el if el >= 1 else 1 for el in this_sub_topo]))
-            if lookup in self.dict_topo:
-                res[self.dict_topo[lookup]] = 1.
+            #lookup = (sub_id, tuple([el if el >= 1 else 1 for el in this_sub_topo]))
+            topo_found=False
+
+            if (np.all(conn)):
+                lookup = (sub_id, tuple([el if el >= 1 else 1 for el in this_sub_topo]))
+                if lookup in self.dict_topo:
+                    res[self.dict_topo[lookup]] = 1.
+                    topo_found = True
             else:
+                for topo_sub in self.dict_topo:
+                    if topo_sub[0] == sub_id:
+                        topo=np.array(topo_sub[1])
+                        if np.all(topo[conn]==this_sub_topo[conn]):
+                            res[self.dict_topo[topo_sub]] = 1.
+                            topo_found=True
+                            conn_elements_bus_bar_2=conn[(topo_found==2)]
+                            break
+
+            #if lookup in self.dict_topo:
+            #    res[self.dict_topo[lookup]] = 1.
+            #else:
+            if not topo_found:
                 warnings.warn(f"Topology {lookup} is not found on the topo dictionary")
         return res
 
+
     def _online_list_topo_encode(self, obs):
         """
         This method behaves exaclyt like :func:`ProxyLeapNet._given_list_topo_encode` with one difference: you do not
diff --git a/leap_net/test/test_LeapNetProxy.py b/leap_net/test/test_LeapNetProxy.py
index 06007b9..6e5df34 100644
--- a/leap_net/test/test_LeapNetProxy.py
+++ b/leap_net/test/test_LeapNetProxy.py
@@ -215,7 +215,7 @@ def _aux_test_tau_from_list_topo(self, proxy=None):
             proxy = ProxyLeapNet(attr_tau=("line_status", "topo_vect",),
                                  topo_vect_to_tau="given_list",
                                  kwargs_tau=[(0, (2, 1, 1)), (0, (1, 2, 1)), (1, (2, 1, 1, 1, 1, 1)),
-                                             (12, (2, 1, 1, 2)), (13, (2, 1, 2)), (13, (1, 2, 2))]
+                                             (12, (2, 1, 1, 2)), (13, (2, 1, 2)), (13, (1, 2, 2)), (1, (2, 1, 2, 1, 2, 1))]
                                  )
             proxy.init([self.obs])
 
@@ -296,6 +296,23 @@ def _aux_test_tau_from_list_topo(self, proxy=None):
         assert np.sum(res) == 1
         assert res[2] == 1.
 
+        # test that if a line is disconnected, we are still able to match the topologies
+        env = self.env
+        obs = env.reset()
+        act = env.action_space({"set_bus": {"substations_id": [(1, (2, 1, -1, 1, 2, 1))]}})#(2, 1, 2, 1, 2, 1)
+        obs, reward, done, info = env.step(act)
+        res = proxy.topo_vect_handler(obs)
+        assert np.sum(res) == 1
+        assert res[6] == 1.
+
+        env = self.env
+        obs = env.reset()
+        act = env.action_space({"set_bus": {"substations_id": [(1, (2, -1, 2, 1, 2, 1))]}})
+        obs, reward, done, info = env.step(act)
+        res = proxy.topo_vect_handler(obs)
+        assert np.sum(res) == 1
+        assert res[6] == 1.
+
     def test_tau_from_online_topo(self):
         self._aux_test_tau_from_online_topo()