The Daily Express carries quotes from FIFA agent Ceylan Caliskan, who claims to have held talks with the Chelsea forward over a move to Turkey.
Caliskan said: "I talk closely with Demba Ba, he wants to play for a Turkish club but I can't comment on a transfer yet."
The Express speculates the move could be a loan one - at least at first - with Ba keen to secure first-team football following a frustrating ten months at Stamford Bridge.
The Senegal international joined Chelsea from Newcastle in the 2013 January transfer window, but he's struggled to make an impression at Stamford Bridge.
Under Jose Mourinho he's been behind Fernando Torres and Samuel Eto'o in the pecking order, with reports suggesting he could be a winter window target for Arsenal.
The Gunners are short of firepower, with Olivier Giroud and Nicklas Bendtner the club's only fit senior strikers at the Emirates Stadium.
But Chelsea are thought to be unwilling to loan a first-team player to a potential Premier League title rival, which means Ba may have to look further afield for first-team football.
The report suggests he'd be willing to move to Turkey, with a number of clubs interested in his services.
Fenerbahce and Galatasaray reportedly held 'secret talks' with the Stamford Bridge forward during a recent trip to the country, while goal-shy Besiktas have also been linked.