A British High Commission official said: "We are liaising closely with the [federal police] and the local authorities".
Officials at the US and British consulates separately confirmed suspicious packages had been received.
Police, fire crews and ambulances were seen at a number of diplomatic offices in Melbourne, including those of India, Germany, Italy, Spain and South Korea. It was not clear which embassies in Canberra were affected.
Two fire trucks, a hazardous materials vehicle and police cars attended the Consulate-General of India on St Kilda Road where staff were evacuated, telling reporters they had been told not to comment to reporters.
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SYDNEY: Pakistan's mission in Melbourne was among the those worldwide consulates and embassies in Australian cities that have been sent suspicious packages containing white powder, some reportedly marked with the word "asbestos", foreign media reported.
"The circumstances surrounding these incidents are being investigated".
The government Vic Emergency website noted at least 10 "hazardous material" incidents in the city.
"It's believed to be non-hazardous, however, they're treating it as a hazardous", she said.
A New Zealand official told the Australian Broadcasting Corporation the consulate received an envelope with small plastic bags that appeared to contain concrete and asbestos, with "asbestos" written on one of the bags.
It was immediately unclear if a package was found at the Indian consulate in Melbourne too. The husband of the Swiss honorary consul in Melbourne told the Australia Post a similar story.