However, Roma are thought to be holding out for a further €5 million for the former Internacional stopper, while the Reds also face competition from Real Madrid and Chelsea for the Brazil global. Reds boss Jurgen Klopp has given a few a few public votes of confidence in Karius, but the goalkeeper continues making mistakes in preseason.
Liverpool fans are so desperate for Brazilian custodian Alisson Becker to sign for their beloved Reds, that they started celebrating when Alison Becker confirmed the news of the transfer on Twitter. Real Madrid, another possible suitor, have yet to make contact with Roma.
The Premier League record for a keeper was eclipsed just last summer when Manchester City paid 40 million euros to Benfica for Ederson.
Unai Emery gets hands-on with his Arsenal stars in training
Arsenal will face Atletico Madrid and PSG in Singapore, before then returning to shores closer to home and locking horns with Chelsea in Dublin.
Alisson, Courtois, Chelsea, Roma, Real Madrid and Liverpool find themselves as pawns in a puzzle which could produce a number of different outcomes.
After making such a statement with their offer, it is unlikely Liverpool will be put off by the asking price. On-going concerns over Karius' form, however, plus the prospect of a compromise with the Italian club, has prompted a renewed effort to land Klopp's first choice.
Liverpool goalkeeper Loris Karius was back in the spotlight last week after a 3-2 friendly win against Tranmere at Prenton Park saw him spill a free-kick which allowed the hosts to score. The Liverpool manager has also considered Danny Ward during pre-season but is edging closer to addressing a long-standing issue at Anfield with the bid for Alisson.