Henrikh Mkhitaryan scored to help boss Paulo Fonseca with a triumph over Sassulo to his success.
As the visitors were put to the sword at the first half, the worldwide, who joined the funds club on loan scored his side's third goal of
Roma were 4-0 up from Justin Kluivert a volley, due to Bryan Cristantes header from Edin Dzeko, Mkhitaryan's low strike along with a finish inside 33 moments.
The people piled through Domenico Berardi's twice in the second half but it was too little too late.
Roma moves into place on five points, four behind leaders Inter Milan, while Sassuolo are after shooting three points from their opening three matches 12th.
Earlier in the afternoon, SPAL stunned hopefuls Lazio since they came from behind to win 2-1 thanks to the late winner of Jasmin Kurtic.
Bologna went after pulling off a comeback in Brescia, recovering to win 4-3 later Daniele Dessena was shipped off soon after the fracture, joint-second.
Duvan Zapata watched a stunning strike to make Atalanta a 2-1 victory at Genoa, while Cagliari won 3-1 away to Parma.
Joan Jordan's goal was sufficient for Sevilla to succeed at Alaves and go to the top of La Liga for the first time this year.
Atletico Madrid's 3-2 defeat at Real Sociedad on Saturday night ended the league's only perfect album and Sevilla took advantage of the slide up having a comfortable 1-0 success.
Jordan curled using 25 minutes on the clock in a free-kick that was fantastic and it demonstrated at the nation, as Sevilla passed up several opportunities to double their lead.
Alaves failed to have a single shot on target and stay mid-table.
Elsewhere, Celta Vigo had Saenz and Beltran delivered in the 29 moments in the home and suffered a defeat to the side.
Califa Koulibaly's goal was sufficient to move Nantes up to triumph over Stade Reims, who missed the opportunity remain 11th and to move into the upper half.
Elsewhere, ex-Leeds along with Bournemouth winger Max Gradel played where the hosts clawed back by a deficit.
David Wagner's Schalke came out of succeed 5-1 a win which moved them up to sixth at the table together with seven points from four games, at second-bottom Paderborn.
Before Salif Sane equalised with a header of their own cauly headed promoted Paderborn in front in the eighth minute.
Suat Serder's deflected shot gave the lead four minutes after the rest and Amine Harit, set up with on-loan Everton full-back Jonjoe Kenny made it 3-1 at the 71st minute.
Substitute Ahmed Kutucu and Harit netted at the 85th and 83rd minutes respectively wrapped up an amazing win that took them up to sixth.

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