The Italy international was linked with a move to the Blues last summer, but Antonio Conte saw a bid rebuffed.
Manchester City have also been keeping tabs, with Pep Guardiola eager to carry out a major overhaul of his squad at the end of the season.
Bonucci's future in Turin appears to be far from certain after details emerged of a bust-up with Max Allegri, following the Juve boss' decision to drop him for the last-16 Champions League clash against Porto.
Leonardo Bonucci is attracting interest from Chelsea and Manchester City
David Luiz is currently the world's most expensive defender
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Yahoo Sports claims Bonucci's decision to stay with the Bonaconeri could hinge on Allegri, but it is believed he is keen to engineer an exit.
The 49-year-old tactician has been discussed as a candidate to replace Arsene Wenger at Arsenal, while Barcelona have also been monitoring his situation as they seek a replacement for Luis Enrique.
It is said Bonucci is prepared to leave the club for a world-record fee if Juve choose not to change their coach.
As things stand, David Luiz holds the record for being the world's costliest defender after joining Paris Saint-Germain in 2014 for a fee of £50million.
Bonucci however, wouldn't come cheap, as it is thought he could fetch around £60m.
Antonio Conte is keen to strengthen his rearguard and he is currently drawing up a shortlist of potential targets.
Reports emerged earlier today suggesting Chelsea sent scouts to watch Antonio Rudiger in action in Germany's friendly against England in Dortmund.