Officers moved to kettle a group of people at the end of an anti-racism protest in George Square.
Hundreds attended an anti-racism protest in honour of World Refugee Day which was surrounded by cops.
Police officers formed a cordon splitting the protesters from a small group of loyalist supporters gathering around the Cenotaph.
READ MORE: Crowds gather in George Square for anti-racism protest amid a heavy police presence
The majority of the rally passed without a major incident but just before noon, police kettled a group they claimed were identified as "football risk supporters".
According to PA, arrivals included members of the Green Brigade, linked to Celtic ultras, supporting the anti-racism rally.
The group was slowly led through the East End tightly surrounded by scores of officers.
As they made their way through Glasgow towards the Gallowgate area, protesters were heard chanting "let them go".
It is understood protesters were also caught up in the police escort.
James Kelly, MSP for the Glasgow area, wrote on Twitter: "I am picking up concerns with the way the peaceful protest in George Square has been handled by the police.
"I will be looking into this matter and will raise any legitimate concerns with the police."
The policing lead, CS Alan Murray, said: "We identified a group as football risk supporters, who we believed posed a threat to public safety.
"We spoke with this group and, at their request, escorted them to the Gallowgate area of the city where they dispersed."
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