The French full-back has been locked in talks with the reigning European champions for some time, but for now his future remains uncertain.
"But there have been no concrete offers and I can't say any more.
"I have a lot of respect for Barca but if we can't reach an agreement, the door is always open."
Abidal has also claimed that he is planning to play on for at least two more years.
He added: "I believe I have the legs to go on for two more years.
"I have an international objective. We have qualified for Euro 2012, which is good, but I am also looking at the 2014 World Cup."