Henrikh Mkhitaryan scored to assist boss Paulo Fonseca that was new with a triumph over Sassulo.
The international, who combined the funds club on loan from Arsenal on transfer deadline day, scored his side’s third goal as the people were put to the sword in the first half.
Roma have been 4-0 up from Justin Kluivert a volley, due to Bryan Cristantes header in Edin Dzeko, Mkhitaryan strike and a finish inside 33 minutes.
The visitors came through Domenico Berardi’s twice in the second half but it was too little too late.
The outcome goes Roma four against leaders Inter Milan, while Sassuolo are after shooting three points from their opening three 30, 12th.
Earlier in the afternoon, hopefuls stunned Lazio because they came from behind to win 2-1 thanks to the late winner of Jasmin Kurtic.
Bologna went joint-second after pulling off a comeback in Brescia, recovering by a deficit to win 4-3 later Daniele Dessena was shipped off after the fracture soon for the hosts.
Duvan Zapata scored a gorgeous attack to earn a success at Genoa to Atalanta, while Cagliari won 3-1 away to Parma.
Visit the top of La Liga for the first time and then joan Jordan’s goal was sufficient for Sevilla to succeed at Alaves this season.
Atletico Madrid defeat at Real Sociedad on Saturday night finished Sevilla and the league’s only perfect record took advantage of the slip up having a victory.
Jordan curled in a vibrant as Sevilla passed up opportunities to double their lead, and it proved at the country.
Alaves didn’t have one shot on goal and remain mid-table.
Elsewhere, Celta Vigo had Saenz and Beltran sent in the 29 minutes to Granada at home and suffered a defeat on the newly-promoted side.
The goal of califa Koulibaly was sufficient to move up Nantes to triumph over Stade Reims, who missed the opportunity remain and to go into the upper half.
Elsewhere, Bournemouth winger Max Gradel and ex-Leeds scored against his former team in the 2-2 draw of Toulouse in which the hosts clawed back by a two-goal deficit.
David Wagner’s Schalke came from behind to triumph 5-1 at second-bottom Paderborn, a win that moved them up to sixth in the table together with seven points.
Before Salif Sane equalised with a header of their own cauly headed promoted Paderborn in front in the eighth minute.
Suat Serder shot gave the lead four minutes after the break and Amine Harit, set up with on-loan Everton full-back Jonjoe Kenny made it 3-1 in the 71st minute.
Harit and substitute Ahmed Kutucu netted as Schalke in the minutes wrapped up.
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