Pedro gave Chelsea an early lead from a pass by Victor Moses but the home side fought back well and equalized midway through the first half with a superb curling free kick by Robbie Brady, making his full debut.
Premier League leaders Chelsea moved 10 points clear at the top on Sunday despite being held by Burnley in an entertaining game played amid flurries of sleet and snow. Burnley, promoted last season, moved up one place to 12th and fully deserved a point for their spirit and quality.
They have earned 29 of their 30 points this season at home. Matt Lowton and Andre Gray missed good chances as Burnley sought to maintain their impressive home record, while the defense restricted Antonio Conte’s side who could have their lead cut to eight by Manchester City on Monday.
It came in only the sixth minute from a classic counter-attack beginning with a throw-in deep in their own half. Pedro was involved before Eden Hazard found Moses in space on the right and his cross took out four defenders, allowing Pedro to beat goalkeeper Tom Heaton.
His team dominated possession but managed only two shots on target all match, the second of which was the goal. The equalizer was believed to be the first goal Chelsea had conceded from a direct free kick in four years.
Burnley could even have taken the lead when Thibaut Courtois had to save with his legs from full back Lowton. Brady, a £13 million pound ($16.24 million) signing from Norwich City in January, curled his effort perfectly over the wall and into the top corner of the net from 20 metres.
In a quieter second half striker Gray also missed a good chance, shooting weakly at the goalkeeper. The Lancashire side could not manage a first league win at home to Chelsea since 1983 but their supporters, players and manager were delighted with the performance.