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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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.