Sporting Lisbon, Besiktas, Hamburg and Fenerbahce are all reportedly showing interest.
The forward is expected to leave the club this summer after a disastrous spell since joining earlier this year.
Former Toffees manager Roberto Martinez made him the club’s third most expensive signing ever in the January transfer window, but a lack of form and fitness saw him manage just 152 minutes of football before the end of the season.
New Blues manager Ronald Koeman appears to be less than impressed as he has failed to use him in any of the club’s pre-season fixtures so far.
Koeman's failure to hand him a squad number on Tuesday also indicated that he is willing to see him leave this summer.
And according to Sky Sports, the player has several offers available to him, with Sporting Lisbon, Besiktas, Hamburg and Fenerbahce all showing interest in his services.
So far an asking price is yet to be mentioned, although it is likely the Blues will try to recover as much of the £13.5 million they paid to bring him to Goodison Park.
Given how he has struggled in England though, it is easy to imagine he will depart for much less than that.