Lazio became the first team to take points off Inter in Serie A this season with an eventful 1-1 draw at the Stadio Olimpico on Sunday in which both sides had a player sent off.
Lautaro Martinez fired the visitors into a half time lead before Sergej Milinkovic-Savic nodded in an equaliser.
But the hosts went a man down for the final 20 minutes after Ciro Immobile saw red for a slap on Arturo Vidal, before Stefano Sensi earned the same punishment for a shove on Patric late on.
The result leaves Inter with seven points from their opening three games, while Lazio have picked up four.