Local media reported that the two fans were stabbed and robbed.
"Two supporters were attacked as they left a bar last night and hospitalised with minor wounds. Thankfully, it’s not serious," a Brighton spokesperson said on Thursday.
"They’ve since been discharged and the club, English police liaisons and British Consulate have been in touch with them to provide help and support. We would reiterate the advice we’ve given fans ahead of the match."
Brighton advised travelling fans to use designated shuttle buses for safety reasons.
"Italian police advise it is better to avoid flags and colours in the city," Brighton said in a statement last week.
Liverpool fans faced violence in Rome in April and there were clashes between Roma and Cvrzena Zvezda fans in February 2023.
The second leg between Brighton and Roma is scheduled to take place on March 14th on England's south coast.