City are desperate to land the Uruguayan forward and have offered €55 million or €40 million plus Edin Dzeko, according to Mediaset.
Real Madrid are also keen on Cavani, whilst Chelsea cannot afford the player as they are trying to comply with financial fair play.
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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.