The incident took place on Anniesland Road at Crow Road shortly after 7pm on Sunday, May 5.
999 crews rushed to the scene.
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Following that, two men were taken to hospital with serious injuries.
Meanwhile, officers say six men have been arrested in connection with the alleged incident.
Police say Kingsway remains closed at its junction with Anniesland Road and Danes Drive while enquiries are carried out.
On top of that, there will be an increased police presence in the area and anyone with information or concern can talk to officers.
An investigation into the reported disturbance remains ongoing.
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A spokesperson for Police Scotland said: “Around 7.25pm on Sunday, May 5, 2024, we were called to a report of a disturbance on Anniesland Road at Crow Road, Glasgow.
“Emergency services attended and two males were taken to hospital with serious injuries.
“Six men have been arrested in connection with the incident and enquiries are ongoing.
“Kingsway is closed at its junction with Anniesland Road and Danes Drive while officers carry out enquiries.
“There will be an increased police presence in the area and anyone with any information or concerns can approach these officers.”