A man was stabbed in the chest after an attack in the city centre on Tuesday afternoon.
Emergency services rushed to the scene at St Enoch's Square at around 2.45pm.
A 22-year-old man was subsequently rushed to Glasgow Royal Infirmary having suffered a stab to his chest.
The force cordoned off several parts of the City Centre, including Dixon Street, St Enoch's Square and Adam's Court.
Hospital staff say the man's current condition is not life-threatening.
Enquiries to the incident are ongoing and officers are appealing for any witnesses of the serious assault to come forward.
They are particularly keen to speak to anyone who may have seen a man described as being around 20-years-old and of slim build, dark beard, who was wearing a khaki jacket, similar trousers, a grey skip cap with the logo "NY" in white, dark trainers and carrying a JD Sports pink/ red bag.
Detective Constable Graham Nicolson, of Stewart Street CID, said: "Our enquiries are ongoing and I would urge anyone who may have information to come forward.
"We have reviewed CCTV footage from the area and it appears a number of people may have witnessed the incident and some may have filmed or photographed it using their mobile phones.
"I urge anyone who would be able to assist to get in touch."
You can contact police by calling 101, quoting incident 1869 of 23 June, or call Crimestoppers anonymously on 0800 555 111.
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