And the Belgian has now admitted the arrival of new owner Farhad Moshiri is unlikely to be enough for him to stay at Goodison Park with trophies at the forefront of his thoughts.
“I’m at a point where I have to make a good career choice," he told the Daily Star.
“I have had a very good season, but it is time for me to write myself a CV. That is why I play football."We have a new investor at Everton, and out of courtesy I will listen to what he has to say. But I have my own ideas in mind. I want to win titles.
"I get that trophy-winning mindset from Chelsea," he added.
Lukaku made just 15 senior appearances for Chelsea during a three-year stay in west London but the forward is on incoming manager Antonio Conte's wishlist.