Protests by groups opposed to the use of hotels and counter-demonstrations led to a number of arrests yesterday.
In Bristol, mounted police were brought in to separate rival groups in the Castle Park, and officers scuffled with protesters.
A 37-year-old woman was arrested on suspicion of assaulting an emergency worker.
Avon and Somerset Police said no officer sustained serious physical injury or has required hospital treatment, but inquiries will be carried out after reports of assaults on them.
In Liverpool there were 11 arrests for offences including being drunk and disorderly, assault and affray, as a UK Independence Party protest was met by a counter-demonstration.
In Horley, Surrey, about 200 anti-immigration protesters draped in St George and Union flags clashed with roughly 50 Stand Up to Racism protesters.
Three people were arrested, two for breach of the peace and one for breaching the conditions of a community protection notice, according to Surrey Police.