On Manus Island, refugees reacted to the news by holding placards at their daily protest, thanking New Zealand for 'trying again'.
"I acknowledge that, while New Zealand has not had to contend with these issues on our shores, it's hard to ignore the human face of this situation and nor should it be ignored", Ardern wrote.
'If one of the men on Manus was your brother, your uncle, your father...your son...,' the New Zealand-born actor tweeted on Sunday.
"We are concerned by events in the past week at Australia's offshore Regional Processing Centre on Manus Island in Papua New Guinea where refugees and asylum seekers are holding out after the Australian Government's decision to close the facility and pull out its support staff", Rupert Colville, a spokesman for the UN High Commissioner for Human Rights, said in a news conference in Geneva on Friday.
"The Australian government is not honest".
However, during a bilateral meeting in Sydney with New Zealand leader Jacinda Ardern on Sunday, he said his government was focused on the USA resettlement deal which will take up to 1250 people.
'In the wake of that, obviously we can consider other ones, ' he said.
'The reality is we have an intractable problem at the present time.
"We have an arrangement with the United States, whereby, a substantial number of 1250 can, subject to the United States' rigorous vetting, be resettled in the United States".
Ms Ardern acknowledged on Sunday that the situation was becoming acute but understood Mr Turnbull's position to first pursue the U.S. deal because it would help substantially more people than New Zealand's small offer could. The honorable prime minister of New Zealand, we are begging you and pleading you to help us.
Ms Ardern said on Sunday she understood the Turnbull government had prioritised the U.S. agreement, but described her own offer as "genuine".
Papua New Guinea security officials shouted at refugees who were fetching food from an Australian refugee camp, refugees at the center told Reuters.
Ms Ardern has reiterated the NZ offer, first made under John Key's centre-right National government to Australia's previous Labor government in 2013.
Those inside claim they will be attacked by PNG locals if they move to an alternative unfenced accommodation at nearby Lorengau.
"However, the government will not shirk its responsibilities and we are prepared to work with relevant authorities to ensure the needs of refugees and non-refugees are provided and they have access to necessary services".