Following their opening day win over Bonnyrigg Rose, the Under 19s took on Dundee at Palmerston in their first home game of the league campaign.
The hosts opened the scoring after 15 minutes when Harry McLinden made his way through before being upended and Cole Burke fired home the free-kick from 20-yards.
With just over half an hour gone the visitors levelled from the penalty spot and the sides were all square at the interval.
Half Time: QOS 19s 1 Dundee 19s 1
The Dens Park side took the lead 10 minutes after the break and looked on course for the win until the 90th minute when Rhinay Walls collected the ball out wide and took on his marker before catching out the keeper with a low angled shot at the near post to earn his side a draw.
Full Time: QOS 19s 2 Dundee 19s 2
Team: Thomson, Daly, Trialist, Davidson, Hall, Fyall, Burke, Ross, Darboe, McLinden & Hunter. Subs: Dillon, Walls, Kelly, Gray, Hill, Loughran & Bowie.