A nearby wine bar was damaged inside and out during the incident
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Bristol City and Nottingham Forest football fans were involved in a violent skirmish after their teams League One match, police confirmed.
The trouble between the large group of supporters started on Radcliffe Road, Nottingham, after Saturday's game.
The nearby Amici wine bar was damaged inside and out during the incident.
Three men from the Avon and Somerset area, aged 17, 41 and 44, have been arrested on suspicion of violent disorder and criminal damage.
A police horse sustained minor injuries in the incident.
Ch Supt Peter Moyes, of Nottinghamshire Police, said CCTV footage of the area is being examined and more arrests are expected to follow.
"This is a serious matter and we have a full-scale investigation underway to identify all those involved.
"Football related violence is not tolerated in Nottingham and where intelligence exists we will enforce the Red Card scheme banning offenders from all grounds in the country," he said.
Colin Sexton, chief executive of Bristol City, said the club was looking into the incident.
But he added that the overwhelming majority of the 4,000 City fans who went to the match behaved in an exemplary fashion.
Police are also investigating a minor incident where two Bristol men were arrested on public order offences at the CASA bar on Trent Bridge before the match.