Olivier Giroud scored the Rossoneri's first two league goals against Cagliari as AC Milan beat them 4-1 in Serie A.
After early strikes by Rafael Leao and Sandro Tonali, Giroud scored Milan's final two goals. Cagliari's 1-1 draw was made by Alessandro Deiola on Sunday.
Milan won the second game in succession, but without Zlatan Ibrahimovic. After injuring his knee in May, the veteran forward is still out and will require surgery.
Jose Mourinho's Roma scored four goals in its win at Salernitana, newly promoted.
Milan opened the scoring in 12 minutes when Tonali scored a free kick to the goalkeeper's near corner. This was Tonali's first goal in Milan, and his second in Serie A. He was a former Brescia midfielder.
Three minutes later, Cagliari was levelled by Deiola's delightful pass from Joao Pedro. Milan took control of the match almost immediately after Leao's attempt was deflected in.
Giroud, a 34-year old Milanian who had come from Chelsea in the offseason, scored his first goal in the 24th. Brahim Diaz ran forward from the centre of midfield, and sent a ball to Giroud who shot it into the far corner of the net.
Giroud converted a second penalty just after halftime, when Cagliari's Kevin Strootmann handled it just outside the penalty area.
ROMA ROUT
Salernitana narrowly lost its first match in the top flight since more than 20 years when it was defeated by Bologna 3-2 last week.
It was even more embarrassing in the first match at home after a second-half defeat.
Three minutes into the second period, Lorenzo Pellegrini broke through the deadlock and scored Roma's fourth goal.
After a goal by Jordan Veretout, Tammy Abraham, a new forward, opened his Roma account on the 69th.
Abraham, 23, is having a great start to his life in Serie A. He set up both his team's goals and hit the crossbar in a 3-1 victory over Fiorentina.
Abraham joined Roma from Chelsea recently for 40 million euros ($47million).
PERFECT RECORD
Andrea Petagna, a substitute for the injured Andrea Petagna, scored just two minutes after he was brought off the bench. Napoli also won two consecutive games with a 2-1 win at Genoa.
After Genoa's opening goal, Andrea Cambiaso, Genoa's midfielder, had cancelled out Fabian Ruiz’s opener, Petagna scored the winning goal with six minutes left.
Sampdoria drew 0-0 to Sassuolo.