Ardern had previously said New Zealand would "certainly see cases again" and that eliminating the virus would be a "sustained effort".
Before that, Prime Minister Jacinda Ardern and Bloomfield repeatedly told the public that the pair had had no contact with others on their drive south.
Neither woman recalled they had brief physical contact with anyone and so the public health unit didn't feel the need to report that.
But exemptions could be granted and Dr Ashley Bloomfield, New Zealand's director-general of health, said there is an "agreed plan in place included in the approval process [including] the travel arrangements".
The pair were eventually swabbed and proved to be infected, but only after they made a 650 kilometre road-trip from Auckland to Wellington to see a dying relative.
Only New Zealanders, their families, and essential workers are now permitted to enter the country, which has no other domestic restrictions in place due to the nation's success at quashing the spread of Covid-19.
Prime Minister Jacinda Ardern had warned that new cases may come up in the future as New Zealanders return home, and some others were allowed in under special conditions.
Unlike New Zealand, the United Kingdom continues to follow lockdown measures, with over 1,000 new confirmed cases of the virus on Monday.
K-pop boyband star Yohan dies aged 28
His last update on his Instagram account was on May 31, which he captioned with, " I want to go on a trip ". TST's label, KJ Music Entertainment issued a statement confirming the news to local outlets, writing.
Trump moves to halt publication of ex-aide's book on White House
Bolton submitted the book for security review in January and has pushed back the publication date several times since. The book is being touted as a chance to take readers behind the scenes of the Donald Trump White House.
Beijing In 'Wartime Emergency Mode' Amid Fresh Cluster Of Coronavirus Cases
Almost everyone who tested positive had worked or shopped at the market, which employs upwards of 10,000 people. The National Health Commission (NHC) said 36 of the new cases were domestic infections in the capital.
Ms Ardern labelled it an "unacceptable failure" and has now appointed Air Cdre Digby Webb, the assistant chief of defence, to oversee all quarantine and managed isolation facilities.
Any staff at the border who are considered possible close contacts will also be stood down and tested.
"I know the case of these two women will have upset people ..."
The Telegraph's Giovanni Torre described New Zealand's situation as a "fiasco" while claiming health officials are in desperation mode.
They remain in isolation in Wellington as health officials scramble to test about 320 people they had contact with while in New Zealand.
New Zealand has a population of roughly 5-million people.
"I apologise that we've ended up in this position", Bloomfield said.
Clark was asked on Wednesday why officials had not ascertained that one of the women had been suffering from Covid-19 symptoms before she left quarantine.
He said it was important people felt confident in sharing information with authorities without worrying they would be criticised. It was also not known whether others were granted compassionate exemptions to quarantine without being tested.