Five police officers were injured and 33 arrests were made after groups of supporters clashed following the Everton versus Manchester United FA Cup tie.
Police tried to break up groups of fighting supporters from both teams who then turned on the officers, Merseyside Police said. A police spokesman said the arrests were for public order offences or for being drunk and disorderly.
He said that an incident of serious disorder took place after last night's fifth-round match as both sets of fans clashed in the Everton Valley district of Liverpool.
One of the injured officers needed hospital treatment but was not thought to be seriously injured.
A large-scale police presence was required to escort the away supporters from Everton's Goodison Park stadium through the city centre after sporadic incidents of disorder, police added.
"The incidents were quickly dealt with by the officers at the scene and the escort was established to cause as little disruption as possible," the spokesman said.