The 30-year-old forward, who finished as joint top scorer in the Turkish Super Lig last season, continues to attract strong interest from Saudi sides, with further approaches expected, per takagazete.
Al-Ahli had previously seen a bid for the former FC Midtjylland striker turned down during the January transfer window.
Trabzonspor president Ertugrul Dogan recently confirmed that the club has received offers for seven players, although only one or two departures are expected this summer.
Head coach Fatih Tekke is also reportedly open to Onuachu’s exit, as he looks to bring in a more mobile attacking option.
The African enjoyed a prolific campaign, scoring 22 goals and sharing the league’s top scorer award, before further enhancing his status by netting twice in the Turkish Cup final win over Konyaspor.