The Italian outfit clinched only their third triumph of the campaign, 80-64, as Raffaella Masciadri scored 25 points.
Beretta Famila led 31-29 midway through the second quarter when they went on an 8-0 run.
The Italians ended up going to half-time on top at 41-35.
The Beretta Famila advantage grew to 12 in the third quarter but the Turks managed to claw their way back to 55-52 on a Nevriye Yilmaz jump shot.
Sandro Orlando's team kept their noses in front, though, with a Masciadri basket giving them a five-point lead heading to the final quarter.
The Schio team started the fourth quarter with three-pointers from Elisabetta Moro and Masciadri and pulled away for a decisive victory.
Yilmaz had 15 points and nine rebounds in defeat.
Beretta Famila made 13 of 24 shots from long range, with Allison Feaster-Strong making five of eight and Masciadri three of five.
Fener hit just two of 15 shots from behind the arc.