The former West Ham United midfielder looks set for a return to France.
Calcio Mercato’s report claims Bordeaux, Lorient and Guingamp have all put offers on the table to bring the attacking midfielder back to France in January.
Amalfitano made his name at Lorient and then Marseille before moving to the Premier League with West Brom on a year-long loan in 2013.
The Frenchman impressed during his time at the Hawthorns and joined West Ham on a permanent deal the following summer.
His first season with the Hammers was a success – with three goals in his 28 appearances – but the arrival of Slaven Bilic this summer has brought about a change in his fortunes.
The former Marseille man was given a chance to impress in the early stages of the Europa League qualifying rounds but a disciplinary breach in August saw his relationship with Bilic breakdown beyond repair, as reported by ESPN.