Burnley's Robbie Brady celebrates scoring
Robbie Brady made his first start for the Clarets after joining in January from Hull.
And he capped his full debut by curling an excellent free-kick past Thibaut Courtois.
Burnley had chances to win the game but Keane was delighted his team-mates response after falling behind early on.
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: "Chelsea came out of the blocks strong and caught us cold in the first five minutes. But we have confidence and didn't let it affect us.
"We never give in – the manager instills it in us – and it showed today. We defended really well as a team and kept our shape.
"They are not top of the league for no reason, and have some excellent players, so we were always going to come under pressure.
"We dug in well and although there was some last ditch defending, I thought we were reasonably comfortable. We deserved the point."
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