Virtuosi UK was established at Carleton Rode, Norfolk, to compete in the Auto GP series. Signing GP2 Series driver Pal Varhaug for its debut season in 2012, the team finished as constructors' runner-up that year. Varhaug won at Sonoma and at Monza and Hungaroring in reverse-grid races. The team consolidated its Auto GP presence through 2013 and 2014, with Tamas Pal Kiss adding wins at the Nurburgring and Estoril in 2014.
From 2015, Virtuosi assumed management of the Russian Time GP2 and Formula 2 entry, running it through the 2018 season. Russian Time's most notable result under this arrangement came when the team won the Formula 2 Teams' Championship in 2017.
When Russian Time withdrew at the end of 2018, Virtuosi rebranded as UNI-Virtuosi and assumed the entry directly. The team confirmed Guanyu Zhou and Luca Ghiotto as its first drivers. Ghiotto took four wins and the team finished second in the Teams' Championship in 2019.
In 2020, Callum Ilott replaced Ghiotto alongside Zhou. Ilott finished runner-up to Mick Schumacher in the drivers' standings, and UNI-Virtuosi again placed second in the teams' championship with four wins. The 2021 season saw Zhou partnered with Felipe Drugovich. Zhou scored all four of the team's wins, and UNI-Virtuosi achieved a third consecutive runners-up finish in the teams' standings. Zhou graduated to Formula One with Alfa Romeo for 2022.
Jack Doohan took three wins in his 2022 rookie season but the team slipped to seventh in the constructors' classification, with Marino Sato providing little additional scoring support.
Before the 2023 season, UNI-Virtuosi announced a title partnership with Invicta Watch Group, racing as Invicta Virtuosi. Doohan remained for 2023, finishing third in the drivers' championship with two poles and three feature race wins. Ahead of 2024, Invicta acquired an ownership stake and the team was rebranded fully as Invicta Racing, with Gabriel Bortoleto joining as one of the drivers. Bortoleto won the 2024 FIA Formula 2 Championship in his rookie season, narrowly defeating Isack Hadjar, and Invicta claimed the teams' championship. Bortoleto subsequently joined Sauber in Formula One. In March 2025, Invicta completed a full acquisition of the Formula 2 squad and separated entirely from Virtuosi, closing the UNI-Virtuosi chapter.
In four seasons under the UNI-Virtuosi name, the team finished second in the Formula 2 Teams' Championship three times and produced multiple race winners who progressed to Formula One. The team's consistency as a manufacturer of top-end F2 talent — Zhou, Ilott, Drugovich, Doohan, and Bortoleto among the headline names — established it as one of the defining junior teams of the early 2020s.