The Spanish giants have been strongly linked with the £40million-rated defender this summer.
Barcelona failed with a bid to sign the 26-year-old a year ago, but he is top of the club’s wish-list this summer.
The Mirror reports that Barcelona are confident that a huge offer may tempt Chelsea to sell.
Luiz signed a new long-term contract at Stamford Bridge last summer.
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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.