The 32-year-old Dutch international left Man United for Turkey over the summer but is said to be unhappy with his role at Istanbul giants Fenerbahce.
Van Persie has started just three of the club’s seven Super Lig fixtures this season and is understandably upset with his standing in Vítor Pereira’s plans and would surely jump at the chance of a move to the Nou Camp.
Despite making just six starts in all competitions the experienced forward has bagged four goals and could well be a useful back-up option for Barcelona boss Luis Enrique.
Last season Enrique used an attacking trio of Luis Suarez, Lionel Messi and Neymar to great use and the loss of Pedro, who joined Chelsea over the summer, has left the Catalan side a little light in terms of a back-up option and van Persie would offer a strong alternative if and when necessary.
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Van Persie scored 190 goals in 382 games in England, for Arsenal and Man United, and is the all-time leading goal-scorer for the Netherlands.