France international Zouma impressed during a season-long loan at Goodison Park last term.
The ex-Saint Etienne centre-half forced his way back into the international reckoning with Didier Deschamps’ world champions after a fine campaign and Marco Silva is keen to take him back to Merseyside on a permanent basis.
Zouma is understood to have been open to a return, if first-team opportunities at Stamford Bridge were again going to be hard to come by.
The 24-year-old has his eye on a spot in the French squad for next summer’s European Championships, but knows he must be playing regularly once more.
Zouma started for Chelsea in their 1-0 loss to Kawasaki Frontale on Friday, playing the first half in Yokohama.
And speaking after the game, new Blues boss Lampard made clear that he sees Zouma as an important part of his squad in 2019-20.
He said: “In terms of Kurt Zouma, he’s a very good defender for us, very good player, very good person and professional. I want him here, simple as that.
“I want him here, simple as that. We are competitive with the centre backs we have in the team and he had a very good season at Everton and I can understand why they want him.
“He’s a Chelsea player and I want him.”
Zouma has spent each of the last two campaigns away from Stamford Bridge, with Stoke in 2017-18 and the Toffees last term.
He made 71 appearances in all competitions for the Blues in three seasons, prior to his two temporary moves.
Zouma partnered David Luiz at the heart of Chelsea’s defence on Friday, and appears to be in pole position to start alongside the Brazilian in the Premier League opener against Manchester United , with Antonio Rudiger still sidelined.