The report states that Galatasaray are looking to further improve their attacking options after signing the Switzerland international Eren Derdiyok earlier this summer.
However, Crystal Palace are understood to be in pole position according to sigh the France international after Evening Standard revealed that Remy is keen to remain in London, rather than move abroad to Spain or Turkey.
Per-the-source, Palace are keen to sign the Chelsea striker as manager Alan Pardew wants to improve his attacking options. The report goes onto say that Palace will use the £28 million they received from the sale of Yannick Bolasie to fund the move for Remy.
Remy scored just one goal in 13 Premier league appearances for Chelsea last season.