The acquisition of Alisson was the latest in a flurry of impressive signings from the Merseyside club, who appear to mean business going forward after adding Fabinho and Naby Keita to an already strong Liverpool side.
Liverpool are paying an initial £56 million plus £9 million in add-ons.
Roma's sporting director Monchi has stressed selling Alisson "would not show a lack of ambition" as he confirmed the player was in Liverpool on Thursday.
Alisson joins on a six year deal for a fee totalling £65m, a world record for a goalkeeper.
Monchi said Copenhagen's Sweden worldwide goalkeeper Robin Olsen was a candidate but added that he would not be hurried into any signing.
"The club wishes the player the best fortunes for the future".
Alisson was given quite the reference from former Roma goalkeeping coach Roberto Negrisolo when he was asked about the price tag.
"I tried to play my best for my team, trying to come second in the French league, but obviously you think about it".
"We didn't have that much contact after he left Roma".
"If he accepted the Liverpool offer, it's because he was happy with it".
"When you make an important decision like this it's not just a decision to change clubs, it practically changes your entire life, my family's life, my wife, my daughter".
He repeated his call to the fans to be patient and trust that he is doing all he can to deliver a trophy to Roma.
"But it is true that the negotiations are advanced and he's over in Liverpool now". I'm pretty sure of that. I need time - I know it doesn't exist, but we need it.
"Hopefully I can play a part in the history being created here, win titles and be a part of the project that has been developed here in the past few years so we can see Liverpool rise once again". I know everyone is exhausted of talk and just wants to win.