Dynamo Kiev were awarded a 3-0 win over AS Roma after their Champions League tie was halted when the referee was hit by an object thrown from the crowd.
Uefa has also ordered Roma to play their next two European games behind closed doors as further punishment.
Swedish referee Anders Frisk left the pitch with blood pouring from his head shortly after sending off Roma defender Philippe Mexes at half time.
Kiev were leading the Group B match 1-0 at the time.
Frisk had blown the half-time whistle, but rightly sent off defender Mexes for his petulant kick at Maris Verpakovskis.
His decision seemed to spark anger from the home crowd and the Swede left the pitch at half-time with blood pouring from his head.
Roma have since issued a public apology to Frisk and are now determined to track down the fan responsible for the attack.
But it is not the first time the Italian club have been in trouble.
Two years ago Roma and Turkish side Galatasaray were involved in a mass brawl involving players, officials and riot police at the end of a Champions League game in Rome.
Frisk also refereed that game.
After Roma appealed, Uefa reduced some of the punishments it handed out to the Italian club.
On that occasion, Uefa withdrew its decision to ban Roma from the Olympic stadium for one match, instead fining the Italian club £221,000.
Last season Roma and Lazio fans also clashed with police outside the Olympic Stadium after the city derby was suspended by a false rumour that a child had been killed by a police car.