There were also no new confirmed cases of coronavirus on Tuesday, with one of the two probable cases being discharged from North Shore Hospital.
More than 50 North Shore staff were sent home to self-isolate after being exposed to the woman, in her 70s, who was in hospital for an unrelated condition.
She has now been sent home from hospital but remains a probable case, the Ministry of Health said in a statement this afternoon.
There are currently 206 Kiwis registered with SafeTravel as being located inside Italy, an Mfat spokesperson confirmed earlier today.
Meanwhile, all airports in the country were still operating and New Zealand tourists were still permitted to leave Italy.
Lombardy, a large region of Italy where Milan is located, was already in lockdown.
"Italian government and local authorities are working very hard to keep us updated and safe," Castelluccio said.
"They have issued some basic hygiene warnings on coronavirus and keep us constantly informed, which is a double-edged sword, if you ask me - we hope for the best but prepare for the worst."
"People are getting frantic" about the situation, Castelluccio said.