Prime Minister Jacinda Ardern is in Australia and has begun formal talks with her Trans-Tasman counterpart, Malcolm Turnbull.

The discussions focused on the two countries' shared values, their long ANZAC bond, their shared part in training soldiers in the Middle East, responding to emerging security threats including their concern about North Korea testing nuclear weapons.

Prime Minister Jacinda Ardern also met with him to discuss Australia’s stand on harsh punishment on Kiwis living there, despite some being raised and even born over there.

“There have been some changes in the way that appeals are being heard, the ability for someone to come to New Zealand, leave detention and make a claim in New Zealand against a deportation order. So there has been some movement. What we're seeking, of course, is to put an end to some of those cases we're seeing because from our perspective it makes no sense for someone who's never stepped foot in New Zealand to have been deported here.”

Jacinda Ardern added that New Zealand and Australia have an opportunity to strengthen their economic ties even further.