The Turkish giants are set to land last season's Super Lig top goalscorer after submitting an offer that met the minimum-fee release clause in the prolific forward's contract
The Turkey international enjoyed a prolific campaign last season, topping the Super Lig scoring charts as Trabzonspor secured a third-place finish.
Galatasaray meanwhile, have long been linked with a move for another striker after Milan Baros endured a frustrating campaign at the club, while Sercan Yildirim has failed to live up to expectations since his move from Bursaspor in 2011.
The club officially announced that they had entered negotiations with Trabzonspor over the player on Thursday, and have now confirmed that they have met his €5m release clause.
The 26-year-old went through unhappy spells at Galatasaray's Istanbul rivals Besiktas and Fenerbahce, but hit top form at club level since moving to Trabzon two years ago.
Burak will be officially presented to the public once he agrees personal terms with the Turk Telekom Arena club.