Roma manager Rudi Voller admitted it was a "sad night" for his club.
In the other Group B game, Michael Owen's Champions League career with Real Madrid got off to an awful start. He watched from the bench as the Spanish club lost 3-0 at Bayer Leverkusen.
In Group C, European footballer of the year Pavel Nedved scored the only goal to give Juventus victory over Ajax in Amsterdam. Bayern Munich joined the Turin club on three points with a 1-0 win at Maccabi Tel Aviv.