diff --git a/purell.go b/purell.go
index 0c46f72..41265ea 100644
--- a/purell.go
+++ b/purell.go
@@ -231,7 +231,7 @@ func removeDotSegments(u *url.URL) {
 		}
 		// Special case if host does not end with / and new path does not begin with /
 		u.Path = strings.Join(dotFree, "/")
-		if !strings.HasSuffix(u.Host, "/") && !strings.HasPrefix(u.Path, "/") {
+		if u.Host != "" && !strings.HasSuffix(u.Host, "/") && !strings.HasPrefix(u.Path, "/") {
 			u.Path = "/" + u.Path
 		}
 		// Special case if the last segment was a dot, make sure the path ends with a slash
diff --git a/purell_test.go b/purell_test.go
index 59dfbd6..a5767fd 100644
--- a/purell_test.go
+++ b/purell_test.go
@@ -653,6 +653,28 @@ var (
 			"http://test.example/foo/bar/",
 			false,
 		},
+		&testCase{
+			"Relative-1",
+			"./../foo",
+			FlagsSafe | FlagRemoveDotSegments | FlagRemoveDuplicateSlashes,
+			"foo",
+			false,
+		},
+		&testCase{
+			"Relative-2",
+			"./foo/bar/../baz/../bang/..",
+			FlagsSafe | FlagRemoveDotSegments | FlagRemoveDuplicateSlashes,
+			"foo/",
+			false,
+		},
+		&testCase{
+			"Relative-3",
+			"foo///bar//",
+			FlagsSafe | FlagRemoveDotSegments | FlagRemoveDuplicateSlashes,
+			"foo/bar/",
+			false,
+		},
+
 		/*&testCase{
 			"UrlNorm-5",
 			"http://ja.wikipedia.org/wiki/%E3%82%AD%E3%83%A3%E3%82%BF%E3%83%94%E3%83%A9%E3%83%BC%E3%82%B8%E3%83%A3%E3%83%91%E3%83%B3",