Luciano Spalletti has challenged his side to push on from their impressive 2-0 win over derby rivals Lazio away from home on Sunday.
Goals from Kevin Strootman and Radja Nainggolan saw the Giallorossi claim an important three points, to remain just four points adrift of Serie A leaders Juventus, and level on points with Milan in third.
And after the match, a delighted Spalletti told the club's official website: "Certain features of the players' performance were different to what we usually produce and suited us.
"Now we have to see if we can push on from this but it's the start of us finally acquiring a character trait that we must have, which was very welcome today."
He added: "Sure, the match wasn't great and both teams could have done more but we carried out our game plan well in the second half."
Roma play Astra in the Europa League on Thursday, before facing Milan and Juventus, and Spalletti is already urging his players to refocus.
"The derby fires the imagination but we have other targets and must focus on AC Milan now," Spalletti explained. "We've won a big match against a great side who are well put together.
"Simone Inzaghi has done brilliantly to strike the right balance. We need to look beyond the city walls, though. Those who want to stay inside can do so. We want to go and see what else is out there."