Emergency services were called to the incident at Daldowie Crematorium, off the M74, near Uddingston, at about 12:30 on Thursday.
Two men were taken to Wishaw General Hospital for treatment.
Police said at the time there was no truth in social media speculation about a firearms incident.

The man escaped with a three-figure sum of cash after raiding the shop in East Muiryhall Street, Coatbridge, at about 21:20 on Tuesday.
The staff member, whose daughter was in the shop at the time, was uninjured but both were left "extremely distressed".
Police have asked anyone with information to contact them.
The suspect is described as white, about 5ft 7in tall, with a medium build.
At the time of the robbery, he was wearing a dark hooded jacket and dark trousers. He was also wearing a balaclava to disguise his face and he had a local accent.
Officers will be carrying out door-to-door inquiries and gathering CCTV images from the local area.
Det Con Emma McLaughlin, of Police Scotland, said: "There are other stores, such as a takeaway and a local shop nearby and it's possible someone may have seen the man before the incident, perhaps he was loitering outside, maybe you saw him acting a little suspiciously.
"If you have any information or knowledge of the incident or the suspect, then please do contact us."
A 56-year-old man has been arrested after a disturbance at a crematorium in Glasgow.
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Police are attempting to trace a man who robbed a William Hill bookmakers in North Lanarkshire after threatening a member of staff with a weapon.