Benfica welcomed back Jesus after a successful spell at Flamengo and hope to hand him some big signings.
Free agent Edinson Cavani has been linked in recent days, and now Everton’s name has circulated.
The major obstacle for Benfica would be Gremio’s asking price of around €30m, a prohibitive fee for the Portuguese side.
In the 2019-20 Brazilian league, Everton scored 11 and assisted five goals in 30 appearances.
Everton has won 14 caps for the Brazil national team and is ready for a big move to Europe at the age of 24.
A German alternative
Waldschmidt, 24, plays a similar role to Everton and his father has already been in Lisbon for negotiations.
Reports claim that Benfica could sign Walschmidt and Koch for a combined fee of €30m.
Waldschmidt’s good form for Freiburg last season led to him winning his first three Germany caps in 2019.