The 32-year-old, who is tied to the European and Spanish champions until the end of the current campaign, had surgery to remove a liver tumour seven months ago before making a triumphant return to lift the Champions League trophy in May.
"I am feeling good, I want to play here at the world's best club and it's difficult to go to other teams," Abidal told a news conference on Monday, adding that several clubs he did not identify by name had shown an interest in signing him.
"The problem is not a financial one, rather the number of seasons," he said. "We have the chat on Thursday and I will come away from it feeling very happy."
The former AS Monaco, Lille and Olympique Lyon player has been linked in the media with a move to Qatar-owned Ligue 1 side Paris Saint-Germain, who have spent millions of euros on players to try to win a first French league title since 1994.
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