Sydney news outlet the Daily Telegraph went for the jugular this morning, welcoming Prime Minister Jacinda Ardern to Australia with the clear message: "We do not want Arderned crims."

That was a response yesterday to her comment that among the issues she will be raising with her counterpart, Malcolm Turnbull, will be the deportation to New Zealand of criminals with New Zealand ancestry, some of whom have never lived in New Zealand.

After Ardern's arrival she and partner Clark Gayford were whisked to dinner with Turnbull and his wife, Lucy, at their private Harbourside home at Pt Piper.

The paper ran a story and large photo on page 11 of her arrival.

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When Ardern and Turnbull sat down for an hour of talks Turnbull opened conversation by saying they had already discussed a number of issues from last night over dinner but he had left enough to fill out today.

He said New Zealand and Australia had an enduring relationship and alliance based on shared values such as respect for the rules-based international order, and had to work closely together in the Pacific.

In response, Ardern also nodded to the countries' common values and said it was telling that this was her third trip to Australia in her first four months as prime minister.

The two countries had a chance to strengthen their economic ties even further, she said.

Earlier today, Ardern and Gayford were officially welcomed with military honours at Admiralty House, the residence of Governor-General Sir Peter Cosgrove.

It was a quick walk next door to Kirribilli House for a press conference with Turnbull before heading to the Australia New Zealand Leadership Forum where Foreign Minister Winston Peters is making a star appearance this morning.

He is likely to be quizzed on an important speech he gave last night in Sydney in which he foreshadowed an increased diplomatic effort by New Zealand in the Pacific.

He wants to see great co-ordination in the interests of friends such as the United States, the EU and Australia to counterbalance the influence of other "external actors" - code for China and Russia.

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