According to reports in Turkey, the Netherlands international will be offered the chance to join the Super Lig giants after falling down the Potters’ pecking order.
Afellay shares the same agent as Robin van Persie, who joined Fenerbahce from Manchester United back in 2015.
It has been claimed Fenerbahce are keen to offload Van Persie this summer, having failed to really settle at the club since his arrival two years ago.
Afellay joined Stoke on a free transfer after his contract with Barcelona expired and could be on the move again this summer.