Chris Wood scored a dramatic stop-time penalty to secure a draw with Wolves, as both sides struggled to achieve their European goals.
Following a handball by Matt Doherty, Wood shot his spot-kick into the top corner in the 96th minute.
Raul Jimenez had put Wolves ahead after 76 minutes with a spectacular volley from the edge of the net.
It looked like Nuno Espirito Santo ‘s side had closed the gap on a Champions League place to one point, playing a game more than rivals Leicester City and Manchester United.
Burnley, who has aspirations of their own in the European Cup, almost leveled when Wood was stuck with keeper Rui Patricio nodding wide of an open goal.
Then seconds later a hopeful cross struck Doherty on the arm and the New Zealand international didn’t misinterpret his decision.
It means Burnley staying ninth in the Premier League while Wolves remain sixth and three points off the top four.