The Premier League side saw two offers for the Spain international turned down by the Liga giants, with Barca sporting director Andoni Zubizarreta stating earlier this month that United had ended their pursuit of Fabregas following Barca's latest rejection.
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"It has always been my dream to play for Barcelona and that has not changed. I am very happy with life at the club and I have never thought about leaving Barca," the 26-year-old said at a press conference.
"I never had any doubts about my future here. It cost me a lot to return to Barca and all I want now is to be successful here."
Fabregas joined Barcelona from Arsenal in the summer of 2011 and has a contract with the Spanish giants until June 2016.