It is no secret that Jurgen Klopp is after a new shotstopper and many see Alisson as the likely option.
However, Roma will only sell the Brazil international if they can maximise their profits following criticism that they sold Mohamed Salah to Liverpool for too little.
Ideally, the Serie A outfit would like to hold off a deal until after the World Cup, but that could also depend on interest from Real Madrid.
'Los Blancos' have been the other club heavily linked with Alisson and would arguably be able to offer more money than the team they beat in the Champions League final last week.
It could turn into a second battle, this time for Alisson's signature, which Liverpool could ultimately be put off by if his price rises too high.
His contract at Roma doesn't expire until June 2021 so they aren't in any rush to sell him but this is still billed to be one of the most exciting transfer sagas of the summer.