The Daily Star report that the two are in regular contact with Mourinho acting as a sort of consultant.
The paper also claim that Mourinho, set to be fired as Real Madrid coach this summer or sooner, is in contact with some of his former players such as John Terry and Frank Lampard.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.