Three men were arrested and police said that more are expected following protests across Edinburgh on Saturday.
A “No to the Far-Right” protest, organised by Stand Up To Racism Edinburgh, took place at the Scottish Parliament on Saturday, with protestors starting to gather from 11am.
A Force For Good, in association with WeSayItPodcast, held a second Enough is Enough rally, also outside the Scottish Parliament, from 12pm on Saturday.
Many also displayed support for Palestine Action, a group that was banned by the UK government under terrorism laws earlier this year.
The protest came after warnings from Police Scotland that showing support for the organisation is an offence under the Terrorism Act.
Two men, aged 67 and 82, were arrested in connection with the Terrorism Act, while a 63-year-old man was arrested in connection with a hate crime.
Police said that enquiries remain ongoing into a number of offences relating to the Terrorism Act and that evidence is being reviewed with further action expected.
Chief Superintendent David Robertson said: “While these protests were conducted peacefully and largely without incident, there were a number of offences identified relating to the Terrorism Act. Substantial evidence of these offences was gathered at the time which will form the basis of a post incident investigation.
“Police Scotland is a rights-based organisation and our role is to ensure public safety while balancing the rights of protesters who wish to peacefully demonstrate.
“Policing in Scotland has strong relationships with the public and we are grateful for the ongoing support of our communities.”
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