diff --git a/libs/ardour/midi_playlist.cc b/libs/ardour/midi_playlist.cc
index 63c3b49858..aa2979dfd1 100644
--- a/libs/ardour/midi_playlist.cc
+++ b/libs/ardour/midi_playlist.cc
@@ -129,10 +129,15 @@ MidiPlaylist::read (Evoral::EventSink<framepos_t>& dst, framepos_t start, framec
 		switch ((*i)->coverage (start, end)) {
 		case Evoral::OverlapStart:
 		case Evoral::OverlapInternal:
-		case Evoral::OverlapExternal:
 			regs.push_back (*i);
 			break;
 
+		case Evoral::OverlapExternal:
+			/* this region is entirely contained in the read range */
+			regs.push_back (*i);
+			ended.push_back (*i);
+			break;
+
 		case Evoral::OverlapEnd:
 			/* this region ends within the read range */
 			regs.push_back (*i);