Lukaku is the first Everton player to score 21 league goals in a season since Gary Lineker in 1985-1986.
During spells away at the club, the Belgian bagged 32 goals in just two Premier League seasons - but Jose Mourinho saw no place for him in the Chelsea squad.
Will Lukaku return to Chelsea?
Chelsea are believed to be interested in re-signing the 23-year-old striker, who they sold to Everton for £28m back in 2014, but have also retained their interest in Real Madrid ace Alvaro Morata from last summer.
Schneiderlin visibly struggled as he limped off at Goodison Park with a calf problem picked up during the first half of the Blues' hammering of Hull City. You need to respect your contract'.
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Manager Ronald Koeman, whose side notched a sixth successive home league win, said he had not given up hope on keeping Lukaku at the Merseyside club.
The Belgium worldwide is the first Everton player to score 20 or more goals in a single season in Premier League history.
Koeman is short on cover regardless of Lukaku's departure and at the top of his wanted list for the summer are two highly-rated forwards in Spanish football. "We like to keep our best players because we need them to make the next step". "You like to be confident, you like to be comfortable at home, you play for the fans and that's really good". The final decision is normally always made by the player himself.
"I am a little bit anxious he will be out for several weeks but we need to wait for the scan to know what happened", Koeman said.
Their first game back after the worldwide break is away to Liverpool in the Merseyside derby on Saturday, 1 April (12:30 BST).