Malcolm Turnbull is set to reject a renewed offer from New Zealand Prime Minister Jacinda Ardern to take 150 refugees from Manus Island.

Mr Turnbull and Ms Ardern will meet for the first time in Sydney on Sunday after the Kiwi leader stitched together a deal that saw her form a coalition government with New Zealand First and the Greens.

Ahead of the meeting, Ms Ardern flagged that she would raise the situation on Manus Island and restate the offer to take 150 refugees, which former prime minister John Key first extended to former prime minister Julia Gillard back in 2013.

"I am looking forward to having a conversation directly with the Prime Minister on Sunday about some of those issues, and New Zealand's role in and view on Manus Island in particular," she said on Thursday.