Reyes rejoined the club he started his career with from Atletico Madrid at the start of the season.
El Confidencial report that the club and its President Jose Maria del Nido are keen to recoup some of the money invested in him.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.