Police are appealing for anyone who may have given David Cerven a ride into central Auckland from Glenfield last Sunday to come forward.
Cerven left a Glenfield address around 4:30pm after advising associates he would "hitch a ride" into the city. He is believed to have arrived in the city by 7:30pm.
"As part of our background inquiries and in order to be clear about David's movements on Sunday, we'd like to hear from anyone who he may have spoken to over the three hours between 4:30pm and 7:30pm," Detective Inspector Kevin Hooper said.
Cerven called police from Myers Park at 7:23pm and was shot by police at the central Auckland location at 7:45pm.
He was dressed in blue denim jeans and a blue and white chequered shirt.
Police believe he may have also been in possession of an orange high-visibility raincoat sometime prior to engaging with officers.
Several people have been captured on CCTV footage in the Myers Park area on Sunday afternoon and evening, including a man wearing a hooded jacket who police believe may have had a conversation with Cerven on a park bench.
Anyone with information is asked to contact investigators on 0800 533 591.