Bamba was playing for Jeunesse Club d'Abidjan in Ivory Coast Premier Soccer League when he was scouted by Sheffield United F.C.
[1] He was signed from Chengdu Blades in 2008 alongside fellow Ivorians Dramane Kamate, Sékou Tidiane Souare and Kourouma Mohamed Lamine.
Bamba Moussa with other colleagues helped Ferencvárosi TC to gain promotion to Hungarian premiership in June 2009.
On 31 January 2010, Bamba joined to Sannat Lions FC of the Gozo First Division and signed a contract with the club.
[6] Bamba married on 3 November 2009 his Romanian girlfriend; he met his wife while playing in Hungary, the couple lived in Bucharest.