Scott Parker’s men were the better side and created the better chances, but were unable to find that all-important breakthrough.
While they recorded a rare clean sheet, only their third of the season, they were let down by their lack of quality in the final third.
The game’s big chances fell their way. Firstly to Jacob Bruun Larsen, who failed to hit the target after being played through one-on-one with Jordan Pickford. And then in the last minute of normal time, Zian Flemming’s low shot rebounded off the foot of the post after again being played through on goal.
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The result means the Clarets remain without a win in their last nine games, a run that stretches back to October 26.
Here’s how Burnley’s players rated:
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13. SUB: Jaidon Anthony - 6/10
For Bruun Larsen, 72 A little frustrating at times, always looking to cut back. But played through that through ball for Flemming’s golden chance. (Photo by Matt McNulty/Getty Images) Photo: Matt McNulty
14. SUB: Mike Tresor - 6/10
For Edwards, 87 Didn’t see a great deal of the ball during the final moments of what was a frantic ending to the game. (Photo by Matt McNulty/Getty Images) Photo: Matt McNulty
15. SUB: Zian Flemming - 6/10
For Broja, 87 Came a whisker away from winning it for Burnley at the death, beating Pickford only to see his low effort rebound off the post. Photo: Kelvin Lister-Stuttard Photo: Kelvin Lister-Stuttard