The Mirror reports that Mourinho is keen to bring in Fred as a replacement for French midfielder Paul Pogba.
Mourinho feels that he can not rely on Pogba due to the inconsistent displays from the midfielder this season. The United boss instead wants to bring in a more tactically disciplined midfielder for next season.
Manchester City are also reportedly interested in signing the highly-rated 24-year-old.
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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.