RFS were promoted to the Virsliga for 2016 when Skonto FC did not obtain a license.
In 2018, RFS qualified for UEFA Europa League qualifiers for the first time. In RFS debut game RFS managed to win 3:2 away against Olimpija Ljubljana. However they lost at home 0:2, conceding in the very last minute. One year later, the club achieved its first-ever title, the Latvian Cup.
In 2020-2021 RFS faced Partizan Belgrade in their UEFA Europa League first qualifying round game. Latvians conceded penalty and lost only 0:1 against famous opponent.