The 25-year-old striker has spent just one season at Stamford Bridge, with the Blues breaking their transfer record to acquire him from Real Madrid in the summer of 2017.
A switch to England was intended to provide Morata with the regular minutes he needs in order to show his true colours and prove himself as an elite frontman.
Morata is currently in Italy during his summer break and refused to rule anything out when quizzed on the mounting transfer talk, with Tuttosport reporting him as saying: “Juve? Let's see; for now I do not know anything about my future.”
The Blues forward, who has previously been pictured in Milan with Juve’s sporting director Fabio Paratici, claims to be back in Italy “to attend a birthday party”.
Morata added: “Chelsea or Atletico? At this moment I am thinking only of holidays.”
Goal revealed back in May that Juventus had yet to table a bid for Morata, despite some reports suggesting that a fee had already been agreed.
The Bianconeri’s CEO, Giuseppe Marotta, then endeavoured to brush aside the rumours when asked about links to several high-profile figures.
He said: “Morata? We are pleased that those who have left keep a great memory of Juventus and show they want to savour the Juventus climate. However, it's just simply a rumour and I want to deny it because we have great players in the attack.”