The discussions took place as part of the Senior Officials Talks held here.
The two sides discussed bilateral relations and exchanged views on regional and global issues.
"Relations between the two countries in the areas of trade and investment, energy and resources, education, science and technology and defence and security were amongst the topics on which there was an exchange of views between the two delegations," a statement released by the Indian High Commission said.
The Indian delegation was led by Sanjay Singh, Secretary (East) in the Ministry of External Affairs while the Australian side was led by Dennis Richardson, the Secretary in the Department of Foreign Affairs and Trade.
During the talks the two delegations discussed bilateral relations and exchanged views on regional and global issues.
Relations between the two countries in the areas of trade and investment, energy and resources, education, science and technology and defence and security were amongst the topics on which there was an exchange of views between the two delegations.
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The talks explored various proposals and ideas to give concrete content to the Strategic Partnership established between the two countries, the statement said.
Both sides agreed that while bilateral relations had expanded rapidly in recent years, there was considerable potential for a transformation of the relationship through efforts of the two sides.
The two delegations also discussed cooperation between India and Australia in multilateral fora including the G-20 and the East Asia Summit.
It was agreed to strengthen cooperation in multilateral fora in areas of mutual interest.
The Australian delegation also briefed the Indian delegation on the Oz Fest