Two people were arrested at Sunday's Black Lives Matter protest in the Glasgow Green.
More than a thousand people gathered in support of the movement demanding justice and racial equality in Scotland.
The protest was peaceful and for the most part, passed without any disturbance.
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Police chiefs expressed disappointment that a large number of people "chose to ignore", Government advice to avoid mass gatherings.
However, the protesters were thanked for adhering to social distancing measures and for keeping the protesters were peaceful.
Assistant chief constable Kenny MacDonald said: "Our advice this weekend was, and remains that people should find alternative methods to protest rather than attending mass gatherings.
"We discouraged attendance at these events across the country to minimise risks to public safety and health.
"I am therefore somewhat disappointed that large numbers of people chose to ignore this advice and attended these events across Scotland.
"However, I would like to thank those who did attend for adhering to the physical distancing measures where possible, and protesting in a peaceful manner."
No fines were issued to any of the protesters at the event.
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Police Scotland officers were in attendance at the Glasgow Green but the incident mainly passed without incidents.
The chief constable added: "We would encourage everyone to continue to follow the Scottish Government's regulations and guidance to aid the collective effort to protect the NHS and save lives."
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