The 19-year-old, who is seen as one of Europe's most promising shot stoppers, joined the Bianconeri from Brescia in the summer transfer window, but was immediately farmed out on loan to Lanciano for the 2012-13 campaign.
Leali is confident that he has what it takes to succeed at Juventus in the long term though, and is desperate to eventually replace Buffon.
"I would happily sign for it now to become Buffon's heir in three years' time," Leali was quoted as saying by Tuttosport.
He added, "He is an idol for me. I still look back at my time with him and [Marco] Storari in the dressing room at the start of the season with pride. I was impressed by everything he did.
"It would already be a dream for me to return to Juventus to be Buffon's backup."
Leali has a contract with Juventus until the summer of 2017.