The meeting was held in Nanterre and ended with a score of 94:92 in favor of the guests.
The most productive players of the match were Kazan defenders Errick McCollum and Jamar Smith, who scored 24 points each.
In the next round, UNICS will meet with the Spanish Hoventut.
Earlier, Lokomotiv-Kuban beat Limoges in the Eurocup basketball.