Natasha Keillor and Olivia Robb, both 29, had been working at the Moria camp, on the Greek Island of Lesbos, for less than a week when a fire was sparked inside a container on Sunday.
It killed at least two people, injured many more and caused a riot at the camp.
About 13,000 people live at the camp, but it only has capacity for 3000.
Drs Keillor and Robb are providing treatment through Kitrinos Healthcare, which is one of the few health providers allowed inside the camp.
Dr Keillor said after the fire people became ''very anxious'' and the riot led to a lockdown.
''It happened right outside the clinic. About 800 people were trying to break through all the security.
''People were just desperate. Tensions were very high on Monday, but it's starting to cool down.''
There were extra police and security since then and some refugees were holding peaceful protests for better conditions, she said.
The camp was a ''very sad place''.
''People are living in tents and on the ground.''
There were on average four or five doctors and two nurses working at the clinic, with five or six translators, who were also refugees.
They were treating a wide range of conditions, including extreme presentations of chronic diseases, bad infections, pneumonia and post-traumatic stress disorder.
''All the medical conditions you'd expect to see anywhere, but they're not getting any treatment.''
The clinic was ''very lucky'' to be allowed inside the camp, but the Greek Government was not funding it.
The charity needed all the money it could get, she said.
''There are more boats coming in from Turkey every day.''
Since the fire, the Greek Government was trying to move some refugees to other camps.
The doctors became friends while growing up in Dunedin.
Dr Keillor was previously based in Darwin and Dr Robb in Wellington.
The two will be at the camp for another month.
