UNICS won its regular season group, and advanced to the final four, where the club was crowned the FIBA Europe League champions.

However, things turned south quickly, as UNICS lost at home against Roma in the tournament's eighth finals’ second leg, and crashed out.

The team the next season made it to the ULEB Cup semifinals, before losing to the eventual league champs Real Madrid.

[citation needed] In the 2007–08 season, UNICS made it to the ULEB Cup (now called EuroCup) Final Eight, but fell to Akasvayu Girona in the quarterfinals.

UNICS beat KK Cedevita 87–66, in the semifinals, behind 27 points from Terrell Lyday, and registered a 92–77 win against Cajasol Sevilla, in the title game.

In the Russian League, UNICS had a 21–6 record, to finish the regular season atop the standings, but then went out in the playoff semifinals, after a five-game duel against BC Khimki.

[1] Lorenzo Brown and Marco Spissu decided not to break their contracts and stayed with the team until the end of VTB League.

Milan Gurović (2004) and Hüseyin Beşok (2005) shortly were under contract with UNICS Kazan, but never played a single game for the team.