The fire trucks were parked directly outside Elmwood House and Hospital on Nelson Cres during the incident, which is a residential care home for the elderly.
Meanwhile, police received reports of a group fighting in Hastings on Heretaunga St about 1pm on Saturday.
A police spokesperson said one person suffered minor injuries.
"Enquiries are ongoing to determine the circumstances," the spokesperson said.
Emergency services were also called out to at least four crashes in the region between Friday night and Sunday morning.
That included a one-vehicle crash on SH2 at Westshore about 11pm on Friday.
Ambulance, police and fire services all attended and one person suffered moderate injuries.
Another crash involved a motorbike flipping near Masefield Ave in Maraenui, Napier, at about 7.30pm yesterday .
Fire services reported one person was trapped under the motorbike and had to be helped from the crash.
Their injuries are not known at this stage.
There was also a single-vehicle crash on Pakowhai Rd in Pakowhai, Hastings, at about 5am yesterday morning, and another single-vehicle crash on Cornwall Rd in Mahora, Hastings, about 4.30am this morning .