Chelsea often had nine men behind the ball, with just Didier Drogba alone up front.
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Defender Gerard Pique believes only his side played any football over the 90 minutes.
"Barcelona were the only team who wanted to play, and yet the reward is for Chelsea, even though it seems like they came for a draw," he said.
Pique came through the youth system at Barcelona and returned to the club in the summer following a spell at Manchester United.
Ironically, the Catalan defender was on the bench for United in last season's Champions League semi-final at Barcelona, which also finished goalless.
He was preferred to captain Carles Puyol at the back this time for the locals, though, and says Barcelona can hold their heads high after a game which they dominated from start to finish.
"At least we know we're superior because we showed that on the pitch," he said.
Xavi, meanwhile, accused Chelsea of anti-fair play.
"There were some actions which were clear yellow cards and not even a foul was given, and then (Yaya) Toure was booked for protesting.
"One team wanted to play and the other one didn't, it's a shame. there's all this talk about fair play, but I haven't seen any from them tonight," he said.