Glasgow City Centre Police said they are treating the incident as a targeted assault.
The force said officers do not believe there is a threat to the wider public.
The force tweeted: “INCIDENT, ARGYLE STREET: We can confirm that we were called at 12.10pm on Sun 28 June, to a report of an assault in Argyle Street, Glasgow.
“Officers are currently at the scene.
“We believe this was a targeted assault and we do not believe there is a threat to the wider public.”
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