The 31-year-old has a year left on his contract with the club.
And it is reported he is fancying a move to the Premier League as the last big move of his career.
According to Sport Witness, the Turkish side are willing to let him go for roughly €3 million.
But other teams want him as well, including Real Betis in Spain and Russia's Zenit St. Petersburg.
Caicara has a Bulgarian passport, which means he would have less work permit issues than if he only had a Brazilian passport.