Several Spurs fans were injured on the eve of last week's Europa League 0-0 draw with rival Rome club Lazio.
Ashley Mills, 25, of Essex, was stabbed in his thigh and remains in hospital.
Francesco Ianari, 26, and Mauro Pinnelli, 25, had initial charges of attempted murder downgraded to aggravated wounding in court on Monday.
They remain in custody in Regina Coeli prison.
After the attack media suspicion initially fell on Lazio fans, but this was later questioned.
There has been speculation the attack was carried out by a group with anti-Semitic leanings. Tottenham traditionally draw support from north London's Jewish community.
Historically, it's not the first time English supporters in Europe have ran into trouble in the Italian capital. In 1984 Liverpool fans were stabbed by Roma supporters after the European Cup Final and again in 2001 Liverpool supporters were stabbed.
In 2006 Middlesborough fans were at the centre of yet another stabbing and Manchester United fans - perhaps the most seasoned of travellers in recent times fell foul of local supporters in 2007 and again in 2009 when there were stabbing incidents.