Mulumbu has rejoined Kilmarnock on loan from Celtic until the end of the season.
Mulumbu helped Killie achieve a club-record points total during his first spell at the club in the 2017/18 season, when he made 20 appearances.
The 32-year-old has made three appearances at Celtic since joining Brendan Rodgers' side on a two-year deal in the summer.
Mulumbu started his career at Paris Saint-Germain before spells at Amiens, West Brom and Norwich.
Kilmarnock are currently third in the Scottish Premiership, level on points with Rangers.