TEO Vilnius, the only side to beat Spartak Moscow Region, are now 5-4 and could end up missing out on second place in Group D.
Beretta Famila, already eliminated from play-off contention with just one victory in eight games before the clash, got 19 points from Italy international Laura Macchi.
TEO had a nightmare start.
The hosts reeled off the game's first 11 points and by the end of the first quarter, the lead was 29-8.
Sandro Orlando's team were still in command at half-time, leading 54-35.
TEO never seriously threatened the rest of the way.
Raffaella Masciadri had 18 points for the Schio team.
Lindsey Wilson scored a game-high 23 points in defeat for TEO.
Sandro Orlando, Beretta Famila Schio coach:
"We played a good game. Despite our situation in the group standings we wanted a victory. I'm very happy, and I thank the players for their intensity on the court during the match. I hope this mentality will continue in the Italian Championship too."
Rutenis Paulauskas, TEO Vilnius coach:
"It is difficult to talk about this game. For us this was an important match for the second place in the group. Now we must win next week in Kosice, to get at least third place."
Jurgita Streimikyte, TEO Vilnius player:
"Schio lost their last three games but tonight they played with more enthusiasm than we did. The first quarter decided the game."