A first half strike by leading scorer Roque Santa Cruz looked to have set Rovers on their way to all three points as they chase a place in Europe next season.
Morten Gamst Pedersen should have made the game safe for Rovers on 75 minutes but he wasted a glorious opportunity following a rare breakaway by the home side who were put under relentless second half pressure.
"I felt it was a little harsh on us. Apart from a couple of saves towards the end, they didn’t create a great deal in open play. I felt we were quite comfortable," claimed Rovers boss Mark Hughes.
"We could have won it but you saw the response from their fans, they were pleased to have drawn the game.
"We’re disappointed obviously," Hughes added. "We've given arguably the best team in The Premier League and maybe even in the Champions League a really good game. I thought we were excellent."