The 18-year-old is regarded as a star of the future and he has been dubbed ‘the Turkish Messi’ by media.
Arsenal have been linked with the forward in the past, while he has also been scouted by Bayern Munich and Tottenham.
And now, according to Haberturk, Leicester are also working on a deal for Omur.
The Foxes have set their sights on landing the Turkey under-19 international and have set aside £20m to get him.
Trabzonspor want to keep hold of Omur for at least one more season, but they may struggle to say no to such a lucrative offer.