Similar competition was also played 20 times between 1940 and 1976 during the Soviet-time. Latvian SSR won the most titles with nine followed by Lithuanian SSR with six and Estonian SSR with five. Byelorussian SSR also participated in the tournament in later years.
Between 1950 and 1976 every tournament was contested by national 'B' teams as only players from the 'national leagues' represented the occupied national sides. However, the A side of the Estonian SSR returned to compete in the competition between 1969 and 1976, the period which saw them win three of their five titles.