The personal warmth Abbott shared with Modi was reflected yet again at a reception at the iconic 161-year-old Melbourne Cricket Ground (MCG) where he said Modi is like a "brother."

"Narendra and I," said Abbott on couple of occasions while referring to the determination of the two leaders to work together to help strengthening of relations.

Abbott had urged world leaders to speak from the heart rather than a script at the summit of the Group of 20 industrialised and major emerging economies at Brisbane.

"If we could use first names, that would be good as well because, whatever disagreements we might have, it helps if there can at least be personal warmth amongst us," he said.

When Modi, the first Indian Prime Minister to visit Australia in 28 years after Rajiv Gandhi in 1986, made his entry at the G20 Summit venue, he gave Abbott a hearty hug.

Before Modi began his address to lawmakers today, Abbott said he was determined to correct the situation where no Indian Prime Minister had addressed the Australian parliament.

He said leaders of several countries have addressed the Parliament but no Indian leader has done it.

"I am personally delighted that this has been corrected," Abbott said.

The two leaders had several meetings - both formally and informally - during the East Asia Summit and at the G20 Summit.

"My memorable visit to Australia ends today. A new relationship has begun," Modi said while speaking at the MCG.

At the end of his four-city Australia tour, Modi gifted a memento to Australia signed by World Cup winning Indian captains and himself.

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