Milliyet note that Fener are eyeing the 31-year-old Milan forward should van Persie complete his mooted move away from Istanbul.
RVP only moved to the Super Lig during the summer after being deemed surplus to requirements by Louis van Gaal at United, with the coach instead opting to put his faith in Memphis Depay and Anthony Martial, neither of whom have wholly impressed.
Van Persie is reportedly unhappy with his lot at Fenerbahce, after failing to make the desired impact at the Sukru Saracoglu Stadium.
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In case of an exit for the Dutch forward, Fener are believed to be eyeing Torres, who is currently on loan at Atletico Madrid from Milan.
Torres previously shone at Liverpool, but has never been the same since moving to Chelsea. His current contract comes to an end in June 2016.