The arrangement - which stays subject to worldwide freedom and a work grant - has seen the 22-year-old sign a six-year contract.
As per different reports, the Reds have paid an underlying charge of £64million.
His charge could ascend as high as £85m, which would overshadow by £10m the aggregate they repaid Southampton for focus Virgil van Dijk in January 2018, however for that to happen the Uruguay worldwide should meet each condition - going from goalscoring focuses to winning the Champions League - set out in the arrangement. Liverpool anticipate that the possible expense should be somewhere around £75m giving Nunez plays consistently.
Nunez scored 26 objectives from 15.73 xG in Portugal's Primeira Liga last season, adding four helps from 5.17 xA.
He likewise found his scoring contact in the Champions League, netting six objectives from 3.48 xG. That remembered objectives for both quarter-last legs against Liverpool.
Various clubs were connected with Nunez - with Newcastle taking a gander at the forward during the January move window.
While the charge is high, the striker's wages are accepted to be in the locale of £140,000 seven days which makes the arrangement more tasteful considering they are offloading Sadio Mane, one of the club's higher workers, to Bayern Munich and expect to recover about £40m from the offer of the 30-year-old.