According to 'Sky Sports', Leganes and Bordeaux have shown an interest in the forward, though Olympiacos look set to take Fonte on loan.
The 28-year-old has struggled to find regular football at Craven Cottage, having only scored 3 times in 28 appearances for the Whites.
With the permanent signing of Mitrovic from Newcastle and Luciano Vietto having also joined on loan from Atletico Madrid, it is unlikely Fonte is in Slavisa Jokanovic's plans this season.
Before joining Fulham, Fonte spent four years in the Liga Portuguese with Benfica, Braga and Belenenses following several other spells across Europe.