The Cottagers are planning a major squad overhaul in the summer and they have already signed Fernando Amorebieta and Derek Boateng.
According to L’Equipe, Marseille attacking midfielder Morgan Amalfitano is also high on their hit-list.
The 28-year-old footballer has a contract until June 2015 at Stade Velodrome and he recently admitted he wouldn’t mind staying at the club.
However, it is believed he would be tempted by an offer from English Premier League, obviously provided Fulham can reach an agreement with his current employers.
Amalfitano joined Marseile from Lorient on a free transfer in the summer of 2011, but he hasn’t quite managed to live up to his potential at Stade Velodrome.
He has made a total of 58 Ligue 1 appearances for OM, but could only score two goals in the process.