Armando Broja headed home his first Burnley goal in the final minute of normal time to secure a 1-1 draw for Scott Parker’s side.
Two substitutes combined for the late equaliser, as Marcus Edwards provided a tantalising cross for Broja to glance into the far corner.
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Prior to that, the Clarets looked to be heading to another miserable defeat after Antoine Semenyo’s curler broke the deadlock for the Cherries.
But Broja’s late header provides a smidgeon of optimism and hope as Burnley claim their first point since October 26.
Here’s how Burnley’s players rated:
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5. Hjalmar Ekdal - 7
Shifted to the left of a back three but performed well, heading everything away that came near him and the Burnley box. (Photo by Jan Kruger/Getty Images) Photo: Jan Kruger
6. Lucas Pires - 7/10
Defended pretty and showed plenty of endeavour, even if he did give the ball away on a couple of occasions. (Photo by Ryan Pierse/Getty Images) Photo: Ryan Pierse
7. Josh Cullen - 7/10
Kept going, kept fighting, kept barking orders and leading the troops. It wasn’t pretty, but it finally ends the losing run. (Photo by Ryan Pierse/Getty Images) Photo: Ryan Pierse
8. Lesley Ugochukwu - 6/10
One moment in the first half summed up Burnley’s day, when he took two or three players out of the game with a powerful driving run, only to pass straight out of play. (Photo by Michael Steele/Getty Images) Photo: Michael Steele