The 23-year-old is available to any club willing to meet the midfielder's £17.5 million price tag, having fallen out of favour at Inter, with the aforementioned Premier League club's said to be monitoring his situation.
Kondogbia has started just seven Serie A games for the San Siro side this season and is thought to be open to a move elsewhere, though his preferred destination is somewhat unknown.
Valencia are currently struggling in 17th position in the Spanish top flight and are expected to add to their squad once the winter transfer window opens.