The Chelsea striker spent last season at Goodison Park, scoring 15 goals in 29 Premier league starts, but returned to his parent club at the end of the campaign.
Quotes attributed to the forward, who was speaking after Belgium's defeat to Argentina, suggest he will take the chance to relax before deciding what to do next season.
"I have the opportunity to stay at Everton, it is a possibility and it is something we will have to talk about. But first I want to go back to Belgium, see my family and get some rest," Lukaku is reported to have said.
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