The Brazilian was already believed to be a target for Jurgen Klopp this summer, but he was previously claimed to be willing to persevere with Karius if the Reds were priced out of a deal.
However, with Karius committing two drastic errors in Kyiv the manager may have shifted his priorities.
The 25-year-old is claimed to have given consent for the meeting as he is pushing for a move away from Italy, with Roma valuing their ‘keeper at €70 million (£61.3 million).
His intention is to ensure clarity over his future before the World Cup, with Brazil set to take on Austria in their final warmup friendly in Leopoldstadt on June 10, before their opening clash of the tournament against Switzerland on June 17.
Interestingly, UOL add that Tite’s squad were given a day off around Liverpool after Saturday’s win, which may have provided further opportunity to discuss a deal.