Henrikh Mkhitaryan scored to assist new manager Paulo Fonseca for his success with a triumph over Sassulo.
As the visitors had been put to the sword at the first half, the Armenia international, who joined the funding team on loan from Arsenal on transit day, scored his side’s third goal .
Roma were 4-0 up within 33 minutes due to Bryan Cristantes header, a volley out of Edin Dzeko, a composed finish and Mkhitaryan’s low strike from Justin Kluivert.
The visitors came through Domenico Berardi’s double in the second half but it was too little too late.
The result moves Roma four against leaders Inter Milan, while Sassuolo are after shooting three points in their opening three 30, 12th.
Earlier in the day, SPAL stunned European hopefuls 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 remarkable comeback in Brescia, recovering to win 4-3 later Daniele Dessena was shipped off after the fracture soon for the hosts.
Duvan Zapata scored a gorgeous attack to make a victory at Genoa to Atalanta, although Cagliari won 3-1 away to Parma.
The goal of joan Jordan proved sufficient for Sevilla to win at Alaves and then visit the very top of La Liga for the first time this season.
Atletico Madrid defeat at Real Sociedad on Saturday night ended the league’s just perfect album and Sevilla took good great advantage of the slip up having a victory.
Jordan curled at a free-kick that was brilliant with 25 minutes on the clock since Sevilla passed up opportunities to double their lead, and it demonstrated at the country.
Alaves didn’t have one shot on target within their defeat of the season and stay mid-table.
Elsewhere, Celta Vigo had Saenz and Beltran sent in the opening 29 moments in the home to Granada and then suffered a defeat to the newly-promoted side.
Califa Koulibaly’s aim was sufficient to move Nantes up to fourth with a 1-0 win over Stade Reims, who missed the chance to go into the upper half and remain.
Elsewhere, Bournemouth winger Max Gradel and ex-Leeds scored in which the hosts clawed back from a deficit.
David Wagner’s Schalke came out of triumph 5-1 a win which moved them up to sixth at the table with seven points from four matches, in second-bottom Paderborn.
Before Salif Sane equalised in the 33rd with a header of their own, cauly headed encouraged Paderborn in front.
Suat Serder shot gave Schalke the lead four minutes set up with on-loan Everton full-back Jonjoe Kenny made it 3-1 in the 71st minute.
Substitute Ahmed Kutucu and Harit netted as Schalke respectively in the 83rd and 85th minutes wrapped up.
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