The Daily Star says the talented defender spent last season on loan at Goodison Park and impressed.
A permanent move back to Merseyside looked firmly on the agenda.
However, Zouma has jetted off to Japan with the rest of the Chelsea squad for their pre-season tour.
It's suggested new Blues boss Lampard won't be rushed into selling the 24-year-old.
He wants to asses his newly inherited squad before making any calls on personnel changes.