At least 11 Spurs fans were injured in the attack at 1am on Thursday as up to 50 hooligans stormed the Drunken Ship pub armed with knuckle dusters, baseball bats, knives and broken bottles.
Essex builder Ashley Mills, 25, was most seriously injured, sustaining stab wounds to his leg and head.
He was taken to San Camillo Hospital and has been under observation after having surgery on Friday but is not in a life-threatening condition.
Mr Mills and his fellow fans were enjoying a drink ahead of the club’s Europa League tie against Lazio when the Ultras – right-wing, hooligan fans – stormed the pub.
Fans scrambled to safety as the pub was smashed up.
Two fans of Roma, the city’s other Serie A side, Francesco Ianari, 26, and Mauro Pinnelli, 25, were visited in prison over the weekend by an investigating magistrate, Italian news agency Ansa reported.
The judge ordered they should remain in custody and ruled there was no racist motive in the alleged attack, but that it was football related.
The pair exercised their right of silence and did not respond to the judge.
Sky News quoted Lorenzo Contucci, a lawyer for one of the men, saying that charges of attempted murder had been dropped and the men instead face charges of aggravated wounding with a weapon.
Mr Mills has described the horrifying attack, telling the Evening Standard his attacker “came out of nowhere”. He added: “I didn’t see the guy who stabbed me. There were too many of them.”