It said those travelling to the centre of new outbreaks in the cities of Daegu and Cheongdo should “reconsider” their need to travel.
South Korean President Moon Jae-in has ordered the partial quarantine of Daegu, a city of 2.5 million people.
“The central government, local governments, health officials and medical personnel and the entire people must wage an all-out, concerted response to the problem,” he said on Sunday.
DFAT said travellers to Japan should also exercise a high degree of caution after 132 cases were confirmed on the mainland on top of the 602 infections on the Diamond Princess cruise ship moored off the coast of Yokohama. Japan is preparing to host millions of tourists in the lead-up to and during the Olympic Games in July.
It has set a goal of 40 million tourists in 2020. Official figures show 6.8 million of its 29 million tourists in 2017 came from China. That made China its No.1 source of tourists, just ahead of South Korea’s 6.5 million, making it highly exposed to both markets.
Dr Murphy said he could not comment on preparations for the Olympics.
“I think the Japanese government will look at all of the developments over coming weeks,” he said.
The Israeli government on Monday said it would temporarily block entry to all non-residents who had recently visited Japan or South Korea.
In Europe, Italy has recorded the highest number of cases. It now has a total of 144 infections and two deaths, mostly in the north of the country.
DFAT said travellers to the area should exercise normal safety precautions.
“Italy has confirmed cases of coronavirus, including deaths. Authorities have introduced measures to restrict the use of public spaces and limit travel in some parts of northern Italy where cases have occurred,” the updated travel advice said.
As of Monday afternoon, there have been 78,985 cases, with 2469 deaths worldwide. More than 23,300 people have recovered.
Eryk Bagshaw is an economics correspondent for The Sydney Morning Herald and The Age, based at Parliament House in Canberra