Prime Minister Jacinda Ardern and director-general of health Dr Ashley Bloomfield are making a plea to the remaining 367 people who left 14 days managed isolation after June 9 without a test to do their side of the deal and come forward.

"Do your bit," said Ardern. "Get back in contact. It's a small thing that you can do as a member of our team of five million."

Meanwhile, Deputy Prime Minister Winston Peters today outlined what he saw as the requirements to re-open New Zealand's borders for tourists and travellers.

If New Zealand was dealing solely with an Australian state such as Tasmania, we wouldn't need a vaccine, said Peters, but these moves were complicated by the federal state system.

"There are countries and populations - Queensland is one state and Tasmania is a second state, where we can get started. The Cooks, Niue, maybe other ones as well. But we need to be sure if anything went wrong there we had the facilities to deal with it."

For other, major countries the challenge was much bigger.

Countries would have to have a clean record, Peters told Newstalk ZB's Mike Hosking - zero community transmisson cases, like New Zealand has had since April 28.

"What they need is a clean record but the trouble is it's going haywire in those countries. A second spike in Beiijing. In the states, California, and Texas have seen a massive rise in the last 24 hours.

"If we don't get on top of this thing and get a vaccine, our chances of an economic recovery and worldwide recovery is seriously delayed.

"At this time, in July 2020, we surely have got the genuis, academic progress and the clinical capcity to do something about it. Very soon, I am very confident we are going to have the solution, but it's not here now."

New Zealand has joined a global initiative that aims to enable all countries to access a safe and effective Covid-19 vaccine, Peters announced yesterday.

The COVAX Facility was recently launched by Gavi, the Vaccine Alliance. The Alliance includes the World Health Organization, UNICEF, the World Bank and the Bill & Melinda Gates Foundation. It vaccinates millions of children worldwide for a range of diseases.

"We are out to see whether we can collectively find the vaccine," Peters told Hosking. "And to make sure that we don't see a competition for some countries that rules out other countries. Our job is to make sure we are at the right end of the queue."