While Millane's body is soon to be returned to her home country, police are still working hard to determine the events that ultimately led to her death.
Yesterday, police said there had been a great deal of public speculation about what happened to Grace, but they confirmed her body was intact when it was recovered.
Police also announced they were looking for a shovel believed to be related to the inquiry.
Detectives said they wanted to hear from anyone who may have found the shovel - described as an "Atlas Trade Hardwood Long Handle Round Mouth Shovel" - any time after Monday, December 3.
Detective Inspector Scott Beard said: "At this point we don't know where this item is. It could be anywhere between the Scenic Drive and central Auckland areas".
"Someone may have come across it, picked it up and taken it home. We need to speak to that person or anyone who has seen it."
Today Beard said calls continue to come into the 0800 number with information from the public, but only a few calls were in relation to the shovel they are seeking.
The private blessing was the first time the Millane family have appeared in public since the discovery of Grace's body, a week after she was reported missing.
The blessing came as people across the world mourn Grace's death and look to understand the details of her alleged murder.
Online tributes have been matched with an outpouring of public mourning, with many vigils and walks planned across the country in memory of Millane - the first which took place in Queenstown last night.
Tonight many more people will pay their respects as they gather under candlelight in Auckland, Hamilton, New Plymouth, Wellington, Nelson, Christchurch and Dunedin.