One person was arrested after reports of an assault as Albion bowed out of the Europa League last night.
Sussex Police said they were arrested inside the stadium on suspicion of assault.
The force said: "Sussex Police worked with partners including UEFA, Brighton and Hove Albion Football Club, Southern Rail and British Transport Police to manage the safe arrival and departure of supporters from the Amex Stadium.
"We’d like to thank the vast majority of both home and away fans who behaved responsibly before, during and after the game against AS Roma.
"Working with the club and emergency services colleagues, our aim was to ensure the evening was as safe and enjoyable as possible for everyone attending and to minimise disruption."
There were also reports that a group of Roma fans were arrested at Stansted Airport ahead of the clash at the Amex.
Italian news site La Gazzetta dello Sport reported that five or six Roma fans were met by police at Stansted Airport after issues on their flight. Essex Police were approached for comment.
Brighton beat AS Roma 1-0 but failed to reach the quarter finals of the competition after losing 4-1 on aggregate to the Italian side.
Hundreds of Roma fans took to the streets with flares and made their presence felt as they headed towards the Amex prior to the game.
It came a week after two Albion fans were stabbed in Rome ahead of the away leg of the tie.
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