Juventus star Alves is currently preparing for the Champions League final, where he can join an elite club by becoming one of the only players to win the trophy with two different teams.
Should he lift the trophy, then it will top off a stunning first season in Italy since arriving from La Liga giants Barcelona last summer.
However, despite his stunning form and obvious popularity among the Juventus supporters, the 34-year-old is facing an uncertain future in Turin.
He signed a two-year deal after quitting Barcelona but the Brazil international could leave the club after just a solitary season.
And the Daily Mail claim that Chelsea are in pole position to sign him with manager Antonio Conte weighing up a swoop.
Chelsea summer transfer targets Tue, May 30, 2017
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Chelsea want to sign Juventus star Dani Alves – along with Man City and Tottenham
Chelsea will battle Manchester City and Tottenham for Juventus star Dani Alves
It is said that the Italian views Alves as the perfect player to bring in to help his side handle life back in the Champions League next season.
Conte is also on the lookout for a new wing-back to provide competition for Victor Moses, despite the Nigerian's brilliant form this season.
However, Manchester City and Tottenham are also keen on a swoop.
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City boss Pep Guardiola signed the player during his time at Barcelona, and together the pair won 14 trophies across a four-year spell.
Manchester City boss Pep Guardiola managed Dani Alves during their time at Barcelona
Tottenham are also mentioned in the report as a team keeping tabs on Alves in case he does leave Juventus at the end of the season.
But Chelsea believe that, because of their label of Premier League champions and the fact they can offer him a chance to live in London, they can win the transfer battle.
Juventus have reportedly offered the veteran to clubs as they aim to get him off the books for next season.
Alves is expected to start for Juventus against Real tonight, charged with the task of stopping the La Liga champions from becoming the first team to retain the Champions League in its modern format.