The Italy international is viewed by Liverpool as a potential replacement for Ibrahima Konate. The France defender is on track to leave in a Bosman transfer next summer.
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Il Giorno says Liverpool are turning their sights to Bastoni and readying an offer in the region of €100m for the defender.
Bastoni, 26, is under contract with Inter Milan until 2028.
Eight years ago, Bastoni joined Inter from Atalanta for around €30m.