The enquiry team working on the murder of British tourist Grace Millane have continued their investigations throughout today.

The scene examination on Scenic Drive is ongoing and will continue tomorrow.

'The 0800 number has received a number of calls from people with information about the 2016 red Toyota Corolla hatchback,” says Detective Inspector Scott Beard.

'We would like to hear from anyone who travelled along Scenic Drive on Monday December 3, between 6am and 9.30am.

'The vehicle was rented for a 24-hour period and was returned to a central Auckland rental car company on Monday December 3 at lunchtime.

'We would also like to hear from anyone who walked along Scenic Drive, or who parked in the Waitakere Dam carpark during this time.”

The post-mortem examination was also carried out today.

Scott says the results of the examination will not be released.

'We have been approached by a number of people who would like to hold vigils for Grace.

'The Millane family are very grateful for the kind thoughts and give their blessings to these vigils, but have respectfully declined to attend.”

They have decline to make any further public comment at the moment and ask for continued privacy.

The accused has appeared in court today.

Scott says the court has granted him interim name suppression.

'We would like to remind the public that whilst we appreciate the feeling around this care, it is an offence to breach a court order such as a name suppression, and this includes naming someone who has name suppression on social media.”