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Published 10:07 26 May 2016 BST
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"I have my own ideas in mind. I want to win titles," the Belgian is quoted as saying by the Daily Star.
He claimed to have a winning mindset from his time at Stamford Bridge, though his only medal with the club came in the 2011/12 FA Cup, and he is willing to listen to Everton's new major shareholder Farhad Moshiri "out of courtesy".
Lukaku has not played in the Champions League since leaving Anderlecht, and is thought to be keen to return to the competition at the age of 23.
The Toffees will have no European football next season, having finished 11th in the Premier League for the second successive season.
Lukaku top-scored for the club with 25 goals, but failed to find the net in 10 games after scoring both goals in the FA Cup quarter-final against Chelsea in March.

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