HLN says the Azzurri's first-choice was Mignolet, but Liverpool refused to budge on their initial assessment of €12m.
The Belgium international's agent, Nico Vaessen, warned Liverpool about their stand earlier this week.
"We are talking, but there is no agreement yet," he said.
"It is in the interest of the club to find a solution. Liverpool wants to keep him but he must play. He deserves to evolve in a big team."