The external affairs ministry said the discussions focused on cooperation based on converging vision and values for promotion of peace, stability and prosperity in an increasingly inter-connected region.
"They agreed that a free, open, prosperous and inclusive Indo-Pacific region serves the long-term interests of all countries in the region and of the world at large. The officials also exchanged views on addressing common challenges of terrorism and proliferation linkages impacting the region as well as on enhancing connectivity," it said in a statement.
Japanese Foreign Minister Taro Kono last month had said that Tokyo favours a dialogue between Japan, the US, India and Australia to further boost strategic partnership among them.
The move to set up the quadrilateral comes in the backdrop of growing Chinese assertiveness in the South China Sea.
More From This Section
China claims sovereignty on almost all of the South China Sea which is disputed by Vietnam, the Philippines, Malaysia, Brunei and Taiwan. The US has been accusing China of violating international rules and norms by laying claims on the disputed South and East China seas.
Reacting to the Japanese move, India had said it was open to working with like-minded countries on issues that advance its interests.
The US had said it was looking at a "working-level" quadrilateral meeting in the near term with India, Japan and Australia.
US President Donald Trump last week praised India's "astounding" growth, saying he has been working successfully to bring the vast country and its people together.
Speaking at a gathering of CEOs on the sidelines of the annual Asia-Pacific Economic Cooperation (APEC) summit in the Vietnamese port city of Danang, Trump cited India as one of the countries in the Indo-Pacific region making strides.
China has already reacted cautiously over the proposal by the Trump administration for a working-level quadrilateral meeting, saying Beijing hopes that it would not target or damage a "third party's interest".