Dundee made a couple of changes to the team last week with Tyler French missing out due to sickness, Paul McGowan missed due to injury.
Queen's Park had all the early chances but Ryan Sweeney nearly put Dundee ahead but his header went wide. McGhee and Robinson both had chances but missed them soon after Zac Robinson was replaced by Derick Osei.
Queen's Park scored after the ball fell nicely and Jarrett blocked Sweeney's clearance and the ball ended into the net.
Second half and Dundee hit back when Paul McMullen scored with a well taken free kick, but 34 seconds it was 2-1 Queens when Robson drilled the ball home to the dismay of the Dundee fans.
Dundee did have a lot of pressure and the closest they came when Osei hit the post and a minute late McMullen smashed one off the bar.
But on the 86th minute Derick Osei scored when he finished well from a Jordan McGhee cross.
The game finished 2-2 so a point is better than nothing as it looked late on in the game.
Dundee: Lawlor, Kerr, Sweeney, Ashcroft, Marshall, McMullan, Grayson (Anderson 72), McGhee, Cameron (McCowan 62) Rudden (Sheridanat 62) Robinson (Osei Yaw 34)
Subs Not Used : Legzdins, Jakubiak, Byrne, Robertson, Williamson
Referee: Barry Cook
Att: 1,006