Cech has spent the season as second choice to Thibaut Courtois at Stamford Bridge and has only made five Barclays Premier League starts in Chelsea's title triumph.
The 32-year-old wants first-team football after 10 seasons as a Chelsea regular and Arsenal, Paris St Germain and Real Madrid have all been tipped as possible destinations for the Czech Republic international
But Besiktas also appear to be in the running.
"I have been in contact with Besiktas, we are in talks," Cech's agent Viktor Kolar told Turkish publication Fanatik.
"Turkey is a choice for Cech, but we will decide when the league is over."
Chelsea manager Jose Mourinho wants Cech to stay at Stamford Bridge and he certainly does not want him to join a Premier League rival.
"One thing is Jose Mourinho and another is Mr Abramovich (Chelsea owner) and another thing is the board because the board includes a little bit of me, a little bit of other people," Mourinho said last week.
"But if it was me, if it was my decision, my decision is Petr to stay.
"After that, second point to go but not in England
The option I don't want is for him to go to an English club.
"But, I repeat, I am just the manager and he means so much for this club and what he did in this club I think he deserves everything from this club.
"If the club decision is different to mine, I will accept with all the respect."
Source : PA
Source: PA