Ediz Balkan, who represents the Senegal international, revealed talks with several Premier League clubs have taken place already, with a view to getting Mbodji a move in the January transfer window.
“Kara has attracted a lot of interest from Premier League sides, we held talks with representatives from those clubs in London last Sunday,” Balkan told Turkish-football.com.
“There are six to seven clubs from the Premier League in talks but I can’t reveal the offers right now. There is also interest from Italy and Spain while the big three in Turkey have also held talks.
“The next round of talks in Belgium we will have a better picture of what the near future holds for Kara.”
Palace were one of the Premier League clubs linked with the £10million-rated centre-back in the summer, but he decided to sign a one-year contract extension in Brussels and currently has another three years on his current deal.
Swansea, Leicester City, Newcastle and Brighton are thought to be among the player's other suitors, but reports suggest he would prefer not to join a team near the bottom of the table.