diff --git a/python/resdata/well/well_state.py b/python/resdata/well/well_state.py
index 25733a9c3..f0962bd3d 100644
--- a/python/resdata/well/well_state.py
+++ b/python/resdata/well/well_state.py
@@ -101,6 +101,8 @@ def hasGlobalConnections(self):
     def globalConnections(self):
         """@rtype: list of WellConnection"""
         global_connections = self._get_global_connections()
+        if global_connections is None:
+            return []
         count = self._global_connections_size(global_connections)
 
         values = []
diff --git a/python/tests/well_tests/test_well_missing_ICON.py b/python/tests/well_tests/test_well_missing_ICON.py
index 15976e853..50b6f65e7 100644
--- a/python/tests/well_tests/test_well_missing_ICON.py
+++ b/python/tests/well_tests/test_well_missing_ICON.py
@@ -1,6 +1,7 @@
 import datetime
 from tests import ResdataTest
 from resdata.grid import GridGenerator
+from resdata.resfile import ResdataFile
 from resdata.well import (
     WellInfo,
     WellConnection,
@@ -24,10 +25,46 @@ def check_connections(self, well_info, expected):
         well = well_info["B-2H"]
         well_state = well[0]
         self.assertEqual(well_state.hasGlobalConnections(), expected)
+        if not expected:
+            self.assertEqual(well_state.globalConnections(), [])
+        else:
+            self.assertGreater(len(well_state.globalConnections()), 0)
+        self.assertEqual(well_state.wellType(), WellType.PRODUCER)
+        self.assertEqual(well_state.name(), "B-2H")
+        self.assertTrue(well_state.isOpen())
+        self.assertEqual(well_state.wellHead().ijk(), (14, 30, 8))
+        self.assertEqual(well_state.wellNumber(), 1)
+        self.assertEqual(well_state.reportNumber(), 27)
+        self.assertEqual(
+            well_state.simulationTime().datetime(),
+            datetime.datetime(1998, 10, 13, 0, 0),
+        )
+        self.assertEqual(len(well_state), 0)
+        self.assertEqual(well_state.numSegments(), 0)
+        self.assertEqual(well_state.segments(), [])
+        self.assertFalse(well_state.isMultiSegmentWell())
+        self.assertFalse(well_state.hasSegmentData())
+        self.assertEqual(well_state.gasRate(), 0)
+        self.assertEqual(well_state.waterRate(), 0)
+        self.assertEqual(well_state.oilRate(), 0)
+        self.assertEqual(well_state.volumeRate(), 0)
+        self.assertEqual(well_state.gasRateSI(), 0)
+        self.assertEqual(well_state.oilRateSI(), 0)
+        self.assertEqual(well_state.waterRateSI(), 0)
+        self.assertEqual(well_state.volumeRateSI(), 0)
 
     def test_missing_icon(self):
         well_info_ICON0 = WellInfo(self.grid, self.rst_file_ICON0)
         well_info_ICON1 = WellInfo(self.grid, self.rst_file_ICON1)
+        assert len(well_info_ICON0) == 8
+
+        time_line = well_info_ICON0[0]
+        self.assertEqual(time_line.getName(), "C-4H")
+        self.assertIn("C-4H", well_info_ICON0.allWellNames())
 
         self.check_connections(well_info_ICON0, False)
         self.check_connections(well_info_ICON1, True)
+
+        well_info_ICON0.addWellFile(
+            ResdataFile(self.rst_file_ICON0), load_segment_information=False
+        )