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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13. SUB: Armando Broja - 7
For Flemming, 65 On target for the first time in Burnley colours, glancing home Edwards’ delightful cross to equalise. Almost charged down a late winner too. (Photo by Michael Steele/Getty Images) Photo: Michael Steele
14. SUB: Oliver Sonne - 6
For Walker, 77 Brought some added energy, especially in an attacking sense as Burnley chased a late leveller. Could he start against Everton after Christmas? (Photo by Alex Livesey/Getty Images) Photo: Alex Livesey
15. SUB: Marcus Edwards - 7
For Anthony, 77 When Burnley were screaming out for a moment of quality, Edwards was the man to deliver it with his superb cross for Broja’s equaliser. (Photo by Molly Darlington/Getty Images) Photo: Molly Darlington
16. SUB: Mike Tresor - 6
For Ugochukwu, 82 Looked to make things happen as the Clarets chased a late equaliser. No shortage of effort either, which is good to see. (Photo by Alex Livesey/Getty Images) Photo: Alex Livesey