RB Leipzig remain determined to bring Lookman back to Germany this month after his successful six-month loan last season.
BILD says Everton have raised their valuation from €25m to €31m.
RB Leipzig sports director and coach Ralf Rangnick has made it clear he wants to re-sign Lookman before the market shuts at the end of this month.
Rangnick said earlier this summer: "Ademola Lookman is currently a player of Everton. He knows from his time with us and also through the relationships he has built up with us, our appreciation for his quality as a player and as a person.
"We are in constant contact with his club."