The 19-year-old – currently out on loan at Serie B promotion-chasers SPAL – is being monitored by a number of clubs.
Meret, who has been dubbed ‘the new Dino Zoff’ by some Italian papers, has impressed so much that his parent club are considering making him their first-choice next season.
Liverpool have flip-flopped between long-serving Belgium international Simon Mignolet and last summer’s signing Loris Karius during this season.
They are also linked with a move for England No1 Joe Hart, who is spending the season on loan in Italy at Torino after new Manchester City boss Pep Guardiola decided he did not fit his tactics, in time for the 2017-18 campaign.