Brazilian outlet Globoesporte, as quoted by the Daily Express, is claiming that the defender has settled on personal terms with the west London club.
However, it is also reported that Chelsea are yet to agree a fee with Real Madrid for the transfer of the 26-year-old Brazilian.
The same story says that Antonio Conte sees Danilo as the perfect man to bring competition for Victor Moses at right-back at Chelsea next season, with Manchester City having also been credited with an interest in the player.
The Brazilian media outlet claims that Danilo has come to an agreement with the west London club about personal terms and is now waiting for the two clubs to agree a fee.
The story in the Daily Express, meanwhile, claims that Real Madrid could demand a fee of up to £35m for Danilo this summer.
The same article states that the player himself is keen to sign for the Blues and link up with Conte’s Premier League champions.
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