Fabregas, who is currently with Spain's World Cup squad, signed an eight-year contract with the Gunners in 2006 and has been quoted as saying he would join Barcelona if he left the Emirates.
After his chat with Wenger, he added: "It's not up to me any more. It's just now about Arsenal and whoever it has to be and that's it. I don't want to say anything else.
"I just want to be focused for the World Cup because it's the most important thing. The rest, the future, I'm not interested in the future.
"The only important thing is to form part of this team and play in the World Cup.
"When I play it's always to win and help my team-mates. I will give everything to help Spain be champions."
Joan Laporta's reign as the Catalan club's president comes to an end this summer, and two of his potential successors, Sandro Rosell and Alfons Godall, have mentioned signing Fabregas as part of their election campaign.
The midfielder played alongside current Barca favourite Lionel Messi in the youth team at the Nou Camp before moving to north London seven years ago.
Barcelona have already recruited Spain striker David Villa from Valencia for £34m, a deal which went through on Friday, and they would love Fabregas to become their next big recruit.
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