Cape Town - Liverpool are reported to have offered £62 million to sign Roma goalkeeper Alisson.
Roma are considering the bid, which would be a record for a goalkeeper, but no deal has yet been agreed.
Alisson was between the sticks for Brazil in the recent World Cup in Russia where he played all five games, keeping three clean sheets.
The 25-year-old stopper started his career with Internacional in Brazil before moving to Roma two years ago.
The current record for a keeper is the €53 million Juventus paid Parma for Gianluigi Buffon in 2001.
Manchester City paid Benfica €40 million for another Brazilian keeper Ederson last summer.
News of the bid comes after current goalkeeper Loris Karius made another high-profile mistake last week, the 25-year-old German keeper failed to hold onto a free-kick which resulted in a goal for Tranmere Rovers as Liverpool narrowly beat their Merseyside neighbours 3-2 in a friendly at Prenton Park.
Karius has been under scrutiny since giving away two goals in Liverpool's 3-1 loss to Real Madrid in May’s Champions League final, although it was later found he had been suffering from concussion.