Omar El Kaddouri returned to the starting eleven having missed the last two games due to suspension, whilst former Parma striker Amauri joined Fabio Quagliarella upfront.
Toro made an excellent start and were ahead after only ten minutes when Bruno Peres' cross from the right found Matteo Darmian who controlled on his chest before volleying home from the edge of the area.
Fabio Quagliarella almost doubled Toro's lead in the second half, but his acrobatic bicycle went narrowly over the bar.
Afriyie Acquah, who scored in this fixture last season, could have equalised for the away side but on this occasion he was denied by Jean-Francois Gillet.
Substitute Massimo Coda thought he had earnt an important point for Parma, but his goal was disallowed for handball. At the other end, Quagliarella, and then Juan Sanchez Mino missed opportunites in quick succession to give Toro a bigger margin of victory.