The woman found lying critically injured in a paddock south of Auckland remains stable after having surgery.
The 23-year-old, who has a long-term partner and young daughter, underwent surgery for stab wounds on Friday.
An Auckland District Health Board spokeswoman said the woman was today in a stable condition in a ward at Auckland Hospital.
Meanwhile, police aren't expected to release any more information about the mysterious incident until tomorrow.
Police are yet to confirm if any arrests have been made.
Responding officers were the first to spot the woman lying near her car, a white Subaru Legacy station wagon.
The surrounding farmland was desolate when police found her. Investigators scoured the area, but could not find anyone else nearby.
A relative yesterday told the Herald her family, including her partner and mother-in-law, were with her in hospital .
"She came out of surgery last night, as far as I know she is okay," the man said.
He said he "didn't want to talk about" how the young woman was injured.
The white Subaru appeared to have run off the road and down a small bank, coming to rest against a fence.
Inspector Mark Rowbottom said police were sent to Morley Rd in Waiuku at 6.50am on Friday after several members of the public called police to say they saw a car in a paddock.
The women's belongings were in the vehicle, Rowbottom said.
He said investigations would continue and police were speaking to the woman's family and friends.
"We're trying to track down her movements."
The woman lived locally in Franklin, Rowbottom said.
She was in a critical condition when she was airlifted to hospital.
Mr Rowbottom said police were seeking sightings of the woman's station wagon, registration FDP494.
Police said there were no fears for public safety.