Chelsea manager Antonio Conte applauds fans after the game
Pedro gave the Premier Leaders an early lead with a cool finish in the seventh minute.
But Robbie Brady equalised midway through the first half with a stunning free-kick to secure the 1-1 result.
Chelsea only managed two shots on target but Conte feels his side was the better team against a Burnley side battling against relegation.
Chelsea player ratings against Burnley
Sun, February 12, 2017
Express Sport rates the Chelsea players' performances during their Premier League clash with Burnley
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How did the Chelsea players get on during their clash with Burnley?
He said: "I'm disappointed for this point because I think this was the type of game we could win.
"It's a pity because we started very well, we created chances to score goals and Burnley got the draw with a free-kick.
Chelsea took the lead against Burnley
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Conte's Chelsea side move 10 points clear at the top of the table
"It's a draw, we take a point but we must be a bit disappointed for this point."
The draw stretches Chelsea’s lead at the top of the Premier League to 10 points, which Burley go the same amount clear of the relegation zone.