The Black Eagles are however, still Ladbrokes favourites to sign the France international with odds of 2.20.
Beşiktaş are in the market for a striker following the €14 million sale of Demba Ba to Chinese side Shanghai Shenhua.
The Senegalese international striker scored a career higher 27 goals in all competitions for the Black Eagles last season.
The Black Eagles have also been linked with Hull City forward Dame N’Doye. The Black Eagles have also been closely linked with a move for Fiorentina’s striker Mario Gomez.
The Istanbul giants made a significant profit on the Senegalese international who joined from Chelsea on a €6 million move last season.
Crystal Palace are reported to be favourites to sign Remy according to the Express who claim the Premier League outfit have agreed terms the powerful striker.