Detective Inspector Scott Beard says they're having language difficulties as they interview the woman's family.
"Essentially we're trying to establish whether there are any links between this woman, her family and organised crime in New Zealand,'' he told Newstalk ZB's Larry Williams.
Detective Inspector Beard admits she got through systems in place at the airport.
"We don't know how many people have come in previously, we know this year this is the first time a person has been found to be carrying or smuggling cocaine into New Zealand inside their body.''
He says there are always serious risks to health when smuggling drugs internally and this woman has paid with her life.
Her death has been referred to the coroner.
- Newstalk ZB