Modi gave a book on yoga to Abbott, who expressed interest in the traditional Indian forms of physical, mental, and spiritual practices, according to officials here.
The gifts were exchanged during a meeting the two Prime Ministers had after which the important civil nuclear deal was inked between the two.
Abbott is the first Head of Government, except leaders of SAARC nations, to visit the country after Modi government's installation.

Abbott also handed over two antique statues of Hindu deities to Modi which were allegedly stolen from temples in Tamil Nadu before being bought by art galleries in Australia.

During his meeting with Modi, Abbott returned the idols, one of which is a Nataraja --the dancing Shiva—which belonged to the Chola dynasty of 11th-12th century.

The other sculpture is of Ardhanariswara, which represents Shiva in half-female form, and dates back to 10th century. Both the statues were allegedly stolen from temples in Tamil Nadu and their return was sought by India in March.

Returning the sculptures is a testimony to Australia's good citizenship on such matters and the importance with which Australia views its relationship with India, Abbott's office said.

The Nataraja statue, cast in bronze, was purchased by the National Gallery of Australia (NGA) in February 2008 at a price of USD 5.1 million from art and antiquities dealer Subhash Kapoor who was then based in New York.

The Ardhanariswara statue was purchased by the Art Gallery of New South Wales in 2004 for approximately 300,000 Australian dollar (USD 280,979).

In 2012, Kapoor, owner of the "Art of the Past" gallery in New York, was arrested in Germany and subsequently extradited to India. He is accused of conspiracy to commit burglary and smuggling from Tamil Nadu antique idols of Hindu deities belonging to Chola dynasty.

The case is currently at the prosecution stage in Tamil Nadu and Australian authorities have been assisting in conducting investigation in the case in Australia.

Modi to visit Australia after G20 Summit

Prime Minister Narendra Modi said he will visit Australia after the G20 Summit there in November as there has been no prime ministerial visit from India since 1986.

Abbott, who is the first Head of Government, except leaders of SAARC nations, to visit the country after Modi government's installation, invited Modi to visit Australia.

"I have accepted Prime Minister Abbott's invitation to pay a bilateral visit to Australia after the G20 Summit," he said adding that both will try and meet each other at every available opportunity. The G20 summit is scheduled to be held in November.

Agree to deepen bilateral cooperation

India and Australia agreed to enhance bilateral cooperation in the fields of energy, water, science, education and skills.

"The Prime Ministers (Tony Abbott and Narendra Modi) agreed to deepen the cooperation between the two countries on energy security through ministerial-level dialogue. They agreed to develop a strategic partnership on energy and resources based on long-term, sustainable and reliable supply of Australian resources based on India's energy needs.

"They agreed that cooperation on energy -- extending to coal, LNG, renewables and uranium -- and on resources such as iron ore, copper and gold were key elements of the relationship and committed to intensifying these links," a joint statement said.

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