Bojan served his football apprenticeship at the OFK Beograd football school. After graduation he went on to represent a number of clubs in the Serbian lower leagues around the city of Belgrade. He was prolific in his goal scoring during this period. In 2005 his goal scoring form saw him given the chance to sign for FK Rad in the Jelen pivo Serbian Superliga. Bojan performed respectably at FK Rad and netted 11 times in 32 outings for the club.
After one season with FK Rad, Bojan moved away from Serbia and Belgrade for the first time to Minsk the Belarus capital. Playing for the Minsk club FC MTZ-RIPO Minsk, Mamić made 35 appearances and scored a very respectable 15 goals. He also had his first taste of European competition at FC MTZ-RIPO Minsk, playing in the UEFA Intertoto Cup as the Minsk club attempted to secure a UEFA Europa League place. In those two UEFA Intertoto Cup matches Mamić scored two goals. Mamić was prolific in the Cup in his season at FC MTZ-RIPO Minsk scoring 6 goals in four cup games.
Mamić's good form at the Belorussian club saw him transferred to Lithuanian top flight side FK Atlantas, in April 2008. It was a short stay at the Klaipėda club, before he was transferred to another Lithuanian club FBK Kaunas in Lithuania's second city Kaunas. Mamić spent 8 eventful months at FBK Kaunas in 2008, and had his first opportunity to play in the UEFA Champions League qualifying matches. FBK Kaunas were eliminated after tough ties with Glasgow Rangers F.C. and AaB Fodbold of Aalborg. After elimination from the champions league, Mamić and FBK Kaunas were drawn against the Italian U.C. Sampdoria in the knockout rounds of the UEFA Europa League and it was always going to be a big ask for them to progress.
Mamić left Lithuania for Spain in January 2009, to join the Spanish second division side Ciudad de Murcia.
Bojan Mamić returned to Eastern Europe in July 2009 after he joined the Hungarian National Championship I side Ferencvárosi Torna Club.
Bojan speaks Serbian, English, Spanish and Russian.
A video of some of Bojan's goals can be seen on Youtube using this link.
Here is another Youtube video featuring Bojan's astonishing wonder goal, which was struck right into the top left hand corner of the goal from an incredible 40m.
Here are Bojan's 2 man of the match performances for Ferencvárosi Torna Club in the 2009-10 season
Highlights of Bojan's 2010-11 season at Riffa S.C.