The report states that Töre was re-called from his holiday to Istanbul in order to discuss terms with Besiktas and Atletico Madrid.
The Madrid giants have tabled an offer for the former Chelsea winger in the region of €14 million.
Besiktas have already sold Demba Ba for €13 million and Atinc Nukan for €5 million this summer.
The Turkish international winger scored nine goals and provided 11 assists in all competitions for the Black Eagles last season.
The explosive winger joined the Black Eagles from Kazan for £4 million this summer and still has three-years left on his contract.