The Biancoceleste survived a tense finish to defeat their visitors, who ended the game with 10 men after Robert Beric was sent off.
Lazio went down first to Saint-Etienne in the Europa League on Thursday but eventually fought back for a 3-2 win that sees the club go on top of Group G.
The visitors slipped into the lead in the sixth minute when Moustapha Bayal tapped home, but Ogenyi Onazi equalized for Lazio after getting onto the end of Felipe Anderson's delivery.
Robert Beric then received a straight red card for an elbow and Stefano Pioli's men took advantage, Wesley Hoedt and Lucas Biglia proceeding to put them ahead after the break.