The Australian Broadcasting Corp. reported suspicious packages were also found at the Melbourne consulates of the United States, Switzerland, Pakistan and New Zealand, and possibly those of Greece, France, and Hong Kong.
An Australian Federal Police statement said police and emergency services have responded to suspicious packages delivered to embassies in Melbourne.
A number of consulates have been evacuated in Melbourne. The commission in Canberra was not affected.
Police did not identify any of the embassies or consulates involved.
Australian Federal Police said the packages were being "examined" by emergency services and the circumstances around the incidents are under investigation.More news: BCCI announces cash awards for triumphant Team India members
The Indian consulate and USA embassy, both located on St Kilda Road in Melbourne, are believed to be have been affected, as well as the Swiss, British, German, Spanish, Korean and New Zealand consulates and embassies.
"We are liaising closely with the AFP and the local authorities regarding the situation", the spokesperson said.
Images taken by 9News showed firefighters and paramedics attending the Indian and US missions in Melbourne.
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.
The Ministry of Foreign Affairs and Trade has confirmed that the New Zealand Consulate General in Melbourne received a suspicious package this afternoon.More news: The end: Sears reportedly liquidating
Paramedics and firefighters wearing hazmat suits were seen entering the Korean embassy, while fire engines were seen outside several consulates.
"All our staff are safe and accounted for".
There are reports the packages contain white powder laced with asbestos, and that warnings were emailed to staffers at the consulates prior to the delivery telling them to "wear masks" when opening the packages.
The incident comes just days after emergency services were called to the Argentinian consulate in Sydney's CBD after reports that a suspicious substance was found in a parcel.More news: Devil May Cry 5 Demo Pulled From Xbox One, But Will Return