Ms Ardern hasn't revealed the content of the talks with Mr Turnbull, but said the fact they were continuing proved the urgency of the situation.
Ms Ardern will be pressing Mr Turnbull again to accept New Zealand's offer to take 150 refugees from both Manus Island and Nauru.
Papua New Guinea's Minister for Immigration and Border Security Petrus Thomas said on Sunday he expected the remaining men at the Manus Island detention centre to leave the site by Monday so they can access, "food, water, medical care and security". No matter what label you put on it there is absolute need and there is harm being done, ' she said on Sunday.
Turnbull this month rejected the refugee resettlement offer from his New Zealand counterpart, Jacinda Ardern, preferring instead to work through an existing refugee swap deal he negotiated with former US President Barack Obama a year ago.
Newshub has also learned that New Zealand is upset at the Australian media's leaking of official intelligence on how boats have been stopped from coming to New Zealand.
"It seems like a PR stunt from the New Zealand prime minister to try and focus on one group of refugees which there is a process for, including settlement in the United States", he said.
"He'll know the offer was genuine, it was genuine when it was first made by another Government and another leader, and it remains genuine now".
'We urge Australia to reconsider this and take up the offer, ' Nai Jit Lam, deputy regional representative at the UNHCR told Reuters.
Now there are more than 400 refugees who have barricaded themselves in the mothballed Manus Island detention centre fearing they'll be attacked by locals if they're moved by Papua New Guinean authorities to alternative accommodation.
Ms Ardern said it was faster to organise the logistics of any deal with Australia.
"The people on Manus need our help, they have committed no crime and shouldn't be locked up for exercising their right to seek asylum", said Emma Cullen, spokesperson for Peace Action Wellington.
With many detainees complaining of illness bought about by the unsanitary conditions in the camp, the UN High Commissioner for Refugees (UNHCR) urged Australia to allow 150 of them to resettle in New Zealand.