Barca tried to sign Willian last summer, making three bids for the Brazil global.
According to the Telegraph, they have returned with yet another offer, making Chelsea a player plus cash offer valued at around £50 million, with Barcelona offering fellow Brazilian winger Malcom as part of the deal.
The Catalan outfit have been long-time admirers of the tricky Brazilian, who was linked with a move to the Nou Camp in both January and summer of a year ago. He has made only five appearances in the league so far this season, totalling a measly 97 minutes of action on the pitch.
Asked if he wants Willian to leave Chelsea, Sarri replied: 'Of course not, he is a very important player.
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But Sarri has advised Chelsea to keep Willian at Stamford Bridge and believes the Brazil worldwide needs to improve his goal output as well as his movement off the ball.
The Premier League club told Barca's representatives that they value Willian much higher than the proposal put forward to them, with the LaLiga leaders seemingly still valuing Malcom at the £38m they paid.
Despite only signing for Barcelona a few months ago, his future has been subject to intense transfer speculation.
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