The report claims that Hull City have agreed to transfer the Senegalese international and that N’Doye will receive €2.5 million per-season.
The experienced striker still has two-years left on his contract but reportedly wants out of Hull City following relegation to the Championship.
Trabzonspor have had a long standing interest in the 30-year-old striker. The Black Sea Storm almost signed N’Doye last season but he joined Russian side Lokomotiv Moscow instead.
Hull City snapped N’Doye up last January and he scored five times in 15 appearances.
The 30-year-old striker had a great record at Copenhagen where he scored 82 times and provided 34 assists in 150 appearances.
Trabzonspor have had a busy transfer window. The Black Sea Storm also recently signed Europa League winner Stephen M’Bia.
The Black Sea Storm finished last season in fifth place and are currently managed by Shota Arveladze.