- Lietuvos Rytas (2012-2013)
- Astana (2013-2014)
- VEF (2016-2017)
- PARMA (2018-2019)
- 2017 VTB League All-Star, the top scorer in World Stars team together with Nando de Colo (18 points each)
- In 2016/17 was second in threes made (79 in a season) and 5th best scorer (16,7 points per game)
One of the brightest Latvians played in the VTB United League for 4 different teams. Overall, Blums spent 83 games in the League averaging 11,5 points. In 2017 he became an All-Star and set World Stars scoring record.