The 24-year-old has been with the Turin club since 2022, when he signed for Genoa.
However, BBC states that there is a willingness from all parties to finalize a deal.
City want to sign the left-back as quickly as possible due to a lack of options in that position.
The Italy international, who can also fill in as a right-back, is the style of player City boss Pep Guardiola prefers.
He is good with his feet and can step into midfield, but has the physical presence to be at the back.