The French U21 striker joined Bursaspor on a £1.6 million move from Ligue 1 outfit Sochaux last summer and still has three years left on his contract.
The 23-year-old had 21 goals in 107 appearances for the Ligue 1 side before joining the Green Crocodiles.
Bamako had an impressive breakthrough season scoring 21 goals and seven assists in all competitions despite playing most of the league campaign as a winger.
The Bursaspor star scored a total of three hat-tricks over the course of the season against Karabükspor, Balıkesirspor and Mersin Idman Yurdu.
Bakambu previously scored hat-tricks against Mersin İdman Yurdu in the Turkish Cup and against Balıkesirspor in the league.
Bursaspor finished the league in sixth place but scored the highest number of goals in the league overall (69).
The Green Crocodiles were managed by Şenol Güneş last season but he has since resigned and taken over at Beşiktaş.