A 38-year-old man has been arrested and charged with threatening and abusive behaviour at a Reid Square protest on December 28.
Meanwhile, a 58-year-old man has been arrested and charged in connection with a disturbance at a premises in Broughty Ferry Road on December 29.
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Police have confirmed that enquiries remain ongoing following the Reid Square protest.
The protests, organised by Dundee Patriots and joined by members of Aberdeen Against Illegal Immigration, were held in front of what are believed to be flats housing asylum seekers in Reid Square, and at the site of the former Craigtay Hotel on Broughty Ferry Road, which protesters claimed was housing asylum seekers or would in the future.
However, the Courier reports that it currently holds no contract with the Home Office and does not house asylum seekers.
The protests are part of a wider campaign by far-right groups across the UK targeting asylum hotels and accommodation. Similar protests have been held in Falkirk and Aberdeen on a regular basis since August.
The 58-year-old man is due to appear at the Dundee Sheriff Court on December 31.
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The 38-year-old man was released on an undertaking to appear in the dock at a later date with a report being submitted to the Procurator Fiscal.
Chief Inspector Colin Echevarria said: “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.
“We remain committed to ensuring the safety and wellbeing of everyone in our communities.”