Luka began breathing again, and was flown by rescue helicopter to Auckland's Starship Hospital, where she remains in a critical condition in intensive care.
Mrs Apiata said Luka and her twin brother Koda, who survived the crash unhurt, lived in Kaitaia but had been visiting their father in Waitangi for the holidays.
Last Thursday the family had been advised to prepare themselves for the possibility that the child's life support would be turned off. Brain scans had shown a slight improvement since then, however, prompting Starship's doctors and nurses to persevere.
The driver, Mrs Apiata's son, suffered broken legs and ribs and a punctured lung. He was discharged from Whangarei Hospital on Monday.
Mrs Apiata said the families were grateful for the support, love and prayers they had received from as far away as Australia, even from complete strangers.
"Without that we wouldn't be able to cope. It's just so uplifting," she said.
The families were also hugely grateful to the St John medics, volunteer firefighters, police and helicopter crews.
Police are still investigating the cause of the crash, including whether the children were restrained and whether alcohol was involved. The driver of the ute, a Russell man in his 50s, suffered moderate injuries.