primier League goals in four seasons for the Saints before their relegation in May and has two goals in three games this term.
Everton scored only 34 goals in 38 top-flight games last season and finished in 17th place as they narrowly avoided relegation on the final day.
He would become Sean Dyche’s fifth summer signing.
The Toffees has so far brought in Ashley Young, Arnaut Danjuma, Jack Harrison and teenage striker Youssef Chermiti from Sporting Lisbon.
But manager Dyche said the 19-year-old Portugal youth international needs to get properly, Premier League fit” and would be surprised if he is “ready straight away”.
