Two minutes from time Queen’s looked to extend their lead but the shot hit the upright.
In the final seconds of the game Dundee equalised to share the points in a tense but well fought out game.
Queen’s Park: Sam Gibson, Leo Clark, Luke Lickrish, Joe Cassidy, Ben Ferguson, Liam McVey, Timam Scott, Euan Ross, Lucas McCormick, Josh Howe, Ross McLean. Subs: Darryl Carrick, Jamie Bradley, Trialist.