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Sulori became champions of the Georgian Soviet league in 1969. This success enabled the club to participate in the Soviet Second Minor league the next year, which they finished in the 10th place among 18 teams.

By claiming seven titles within nine years, Sulori became one of the leading members of the republican league in 1980s. In the same period twice in a row they clinched the Georgian Cup as well.

When the national championship was formed, the team won the second division in 1990 and gained promotion to the tier. However, after two seasons they were relegated. The only attempt to return to Umaglesi Liga via play-offs was unsuccessful in 1999.

In 2016, the team knocked out three opponents, including two top-tier teams, and reached the Cup quarterfinals, where they were beaten with a narrow margin by Torpedo Kutaisi, the future Cup winners of the season.

The team had an unusual achievement in the victorious 2015-16 season when they recorded an unbeaten run in the 3rd division. The club moved back to Pirveli Liga, although their tenure there lasted one season only. Following another relegation two years later Sulori reached their lowest point in 2019, when they competed in the regional league.

Since 2020 Sulori have been playing in the fourth league.