Le 10 Sport report that the Parisians are the latest side to sound out the Malaga coach, who is in demand.
Manchester City and Chelsea are also reported to be keen on the Chilean.
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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.