A Fire and Emergency New Zealand (Fenz) spokeswoman said they attended two calls in the Octagon this morning, about 9am and 9.55am.
Both times the occupants were spoken to and the fire was put out.
Firefighters were also called to a small fire last night about 7pm. No action was taken, the spokeswoman said.
Protesters said they had the fire going for several hours last night and were using it to stay warm.
A police spokesman said they were aware fire crews attended incidents in the Octagon, but officers had not gone.
A Dunedin City Council spokesperson said sprinklers in the area had been turned off and staff had visited protesters to discuss the council’s requirements to mow the grass and maintain the gardens.
That work would continue as normal.
If any issues arose it would be a matter for emergency services, they said.