diff --git a/pandas/core/dtypes/concat.py b/pandas/core/dtypes/concat.py
index dc4d819383dfb..23884869a4d9f 100644
--- a/pandas/core/dtypes/concat.py
+++ b/pandas/core/dtypes/concat.py
@@ -571,6 +571,7 @@ def _concat_rangeindex_same_dtype(indexes):
     indexes = [RangeIndex(3), RangeIndex(3, 6)] -> RangeIndex(6)
     indexes = [RangeIndex(3), RangeIndex(4, 6)] -> Int64Index([0,1,2,4,5])
     """
+    from pandas import Int64Index, RangeIndex
 
     start = step = next = None
 
@@ -587,14 +588,12 @@ def _concat_rangeindex_same_dtype(indexes):
         elif step is None:
             # First non-empty index had only one element
             if obj._start == start:
-                from pandas import Int64Index
                 return _concat_index_same_dtype(indexes, klass=Int64Index)
             step = obj._start - start
 
         non_consecutive = ((step != obj._step and len(obj) > 1) or
                            (next is not None and obj._start != next))
         if non_consecutive:
-            from pandas import Int64Index
             return _concat_index_same_dtype(indexes, klass=Int64Index)
 
         if step is not None:
@@ -604,12 +603,8 @@ def _concat_rangeindex_same_dtype(indexes):
         # Get the stop value from "next" or alternatively
         # from the last non-empty index
         stop = non_empty_indexes[-1]._stop if next is None else next
-    else:
-        # Here all "indexes" had 0 length, i.e. were empty.
-        # Simply take start, stop, and step from the last empty index.
-        obj = indexes[-1]
-        start = obj._start
-        step = obj._step
-        stop = obj._stop
-
-    return indexes[0].__class__(start, stop, step)
+        return RangeIndex(start, stop, step)
+
+    # Here all "indexes" had 0 length, i.e. were empty.
+    # In this case return an empty range index.
+    return RangeIndex(0, 0)
diff --git a/pandas/tests/indexes/test_range.py b/pandas/tests/indexes/test_range.py
index 9fe10885186de..7d88b547746f6 100644
--- a/pandas/tests/indexes/test_range.py
+++ b/pandas/tests/indexes/test_range.py
@@ -971,8 +971,8 @@ def test_append(self):
                  ([RI(1, 5, 2), RI(5, 6)], RI(1, 6, 2)),
                  ([RI(1, 3, 2), RI(4, 7, 3)], RI(1, 7, 3)),
                  ([RI(-4, 3, 2), RI(4, 7, 2)], RI(-4, 7, 2)),
-                 ([RI(-4, -8), RI(-8, -12)], RI(-8, -12)),
-                 ([RI(-4, -8), RI(3, -4)], RI(3, -8)),
+                 ([RI(-4, -8), RI(-8, -12)], RI(0, 0)),
+                 ([RI(-4, -8), RI(3, -4)], RI(0, 0)),
                  ([RI(-4, -8), RI(3, 5)], RI(3, 5)),
                  ([RI(-4, -2), RI(3, 5)], I64([-4, -3, 3, 4])),
                  ([RI(-2,), RI(3, 5)], RI(3, 5)),