Health officials have still not managed to find 13 travellers who arrived in New Zealand from Melbourne in the days before the city went into a week-long lockdown.
The travellers, who flew between May 20 and 25, have been asked to self-isolate and get tested.
In total, 4539 people travelled between the Australian city and New Zealand between those dates.
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Large queues and long waits plague a number of testing sites in Victoria.
The Ministry of Health said on Monday the 13 travellers had been referred to people-finding services.
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Police and other Government agencies are used to help find people when other avenues are exhausted, a ministry spokesperson told Stuff.
When asked, the ministry would not elaborate on what these other agencies are.
The National Investigation and Tracing Centre uses a process to find alternative contact information, which it refers to as its Finders Service, the spokesperson said.
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Medical staff perform Covid-19 testing at a drive-through testing site in South Melbourne.
This includes sourcing border arrival cards, using health databases, and confirming if people have already left New Zealand.
As of Monday morning, 2237 travellers and 178 air crew had returned negative tests, the ministry said.
Many of the remaining test results were expected to be received later in the day and will be reported by the ministry in Tuesdays update.
The ministry also announced there is one new case of coronavirus in New Zealand in managed isolation. They arrived from India via Qatar.
There are no new community cases.
Quarantine-free travel between Victoria and New Zealand has been paused.
The Ministry is still trying to trace an aged care worker who tested positive after working at a facility in Melbournes north-west, the fifth of five new locally acquired cases.
The home has since been sent into lockdown.
The case, who worked at Arcare Maidstone retirement facility, was described on Sunday by Covid-19 response commander Jeroen Weimar as the first mystery case of the cluster so far.
It is one of two cases out of the five that remains under investigation.
Interviews are continuing to determine the source of the fourth case too, however, there are a number of crossover links with some grocery and food stores already on the exposure list.
The total number of official exposure sites now sits at more than 170.