The Roma defender was clearly incensed and had to be held back by his teammate Kostas Manolas.
Ronaldo made a gesture with his hand with the former Real Madrid star heard saying: "You're too small to talk".
While the 34-year-old has been criticised for his unprofessionalism, he was seen apologsing for his actions after the game and embracing the Italy worldwide.
"I'm not making any predictions, we are depending on others", said Roma's veteran coach Claudio Ranieri, who took over in March to guide the team through the rest of this season.
The new design, confirmed by the club shortly before kickoff as their new home shirt for next season, also features a pink pinstripe between the two halves.
Captain Florenzi fired Roma ahead 11 minutes from time with a composed finish after Ronaldo had a strike was ruled out by VAR for offside.
Then in added time, it was Edin Dzeko who killed off the game by making it 2-0.
Juventus and second-placed Napoli are already guaranteed Champions League football next season, but the battle for the two remaining top-four places is set to go down to the wire with just three points separating Roma in sixth from Atalanta in third.
"We'd put the ball out of play twice so someone could get treatment and twice he played it".