While they were expected to cross paths at the APEC Summit in Vietnam and East Asia Summit in the Philippines next week, Ardern wanted the chance for the leaders to formally meet first.
The offer had been rejected by successive Australian governments under Labor and the Liberal Party.
On Thursday, Ardern said she'd restate her predecessor John Key's proposed deal, which was first offered to former Prime Minister Julia Gillard back in 2013.
"The matter is already before the International Criminal Court (ICC), and of course New Zealand is a signatory to the Rome Statute so we have jurisdiction to take action against perpetrators of crimes against humanity and war crimes".
"The agreement with the U.S. would lead to a substantial number of refugees being resettled", she said.
"In the wake of that obviously we can consider other ones", he said.
Some 600 asylum seekers and refugees have barricaded themselves in the Manus Island complex, which officially closed last Tuesday.
The group says they are afraid of being attacked by locals if they leave.
"We thank New Zealand for making an offer, we are not taking it up at this time", he said, reports the ABC.
Australia's concern in the past has been that refugees will settle in New Zealand and then move to Australia but Ardern said there were ways to deal with that.
The stand-off at the Manus Island detention centre prompted Opposition Leader Bill Shorten to issue a statement on Friday, calling on Mr Turnbull to accept the offer, describing it as not dissimilar to the USA deal.
Overnight, one refugee on Manus Island was reportedly experiencing heart problems.
The controversial clause which allows foreign investors to sue governments is the final frontier in Labour's opposition to the agreement, which the remaining nations hope could be finalised this week.
Massive rallies marks 1979 USA embassy seizure in Iran
Responding to Trump and his administration's attempts to isolate Iran diplomatically, Khamenei said his foes in the U.S. Thirty eight years ago, student activists stormed the USA diplomatic compound, taking 52 embassy staff hostage.
Ousted Catalan leader surrenders to police
Puigdemont threatens to declare independence if the central government is unwilling to enter into talks with Catalan officials. Later that day, Belgium's prosecutors confirmed they received the arrest warrant for Puigdemont and promised to study it.
StarCraft II Is Going Free-To-Play This Month
Gamers will be able to play the entire campaign of StarCraft II: Wings of Liberty for free once November 14 hits. Those who are not free players can also unlock the ranked ladder by purchasing any campaign or War Chest season.