Gian Piero Gasperini’s side produced a devastating first-half display, scoring four goals inside the opening 37 minutes to put the contest beyond Udinese’s reach at the Bluenergy Stadium.
Bryan Cristante opened the scoring in the 10th minute, giving the visitors an early advantage before Rodrigo Mora doubled their lead in the 31st minute.
Roma struck again just two minutes later through Donyell Malen, who made it 3-0 in the 33rd minute. Evan Ndicka then completed the first-half demolition with a fourth goal in the 37th minute, leaving Udinese with a mountain to climb after the interval.
Udinese showed greater determination after the restart and pulled one back through Nicolò Zaniolo in the 50th minute.
The hosts continued to search for a response and reduced the deficit further in the 78th minute when Matteo Palma found the net to make it 4-2.
However, Roma put the result beyond doubt in stoppage time as Daniele Ghilardi scored in the 90th+2 minute to seal an emphatic 5-2 victory.
Roma maintain impressive unbeaten record
The victory extended Roma’s unbeaten run in Serie A to 10 matches, underlining their strong start under Gasperini.
The Giallorossi have also demonstrated considerable attacking depth, with five different players getting on the scoresheet against Udinese.
Roma head coach Gasperini praised his team's attacking output after the match, highlighting the importance of having several players capable of contributing goals.
The result leaves Roma third in the Serie A standings on 24 points, behind Lazio and Inter Milan, who are both on 25 points.
Roma will now turn their attention to their next assignment, a UEFA Champions League meeting with Manchester United.