Mulumba was born in Abbeville. He joined Amiens in 2006 and made his debut for the club on 7 May 2010 in a league match against Bayonne.[2] On 12 July 2010, Mulumba signed a three-year professional contract with FC Lorient.[3][4]
On 20 August 2019, he signed a two-year contract with Châteauroux.[5]
On 6 July 2021, he joined Bandırmaspor in Turkey on a two-year contract.[6]
Personal life
Mulumba is the son of former football player Albert Mulumba, a former player of SC Abbeville, whom the younger Mulumba began his career with.[7]