The 23-year-old Turkey international has played for Cimbom since 2009 and has drawn interest from Europe's top clubs due to his impressive displays.
Aktuel.com reports that Inter made an offer of €6 million for Kaya, however Galatasaray have rejected the offer and placed a €12 million price tag on the Turkish international.
It is believed that Kaya would be interested in a move to the Nerazzurri, with the Italian club interested in him primarily due to his versatility.
Kaya made 41 appearances for Galatasaray in 2013-2014 while scoring two goals while making 17 appearance for the Turkey national team during the course of his career.
