Turnbull, on his first visit to India, said, "The success you have achieved is the wonder of the world".
Since then, officials have played for time, suggesting progress was slower than expected, but occurring nonetheless.
It's broadly understood there are sticking points in agriculture, where India has a long history of protectionism, and labour mobility.
Turnbull said the trading relationship between the two countries was delivering significant benefits to both nations, with two-way trade in goods and services worth almost AUD20 billion ($15 billion) in 2016.
For the first time, the India-Australian joint statement said that the two leaders "underscored the importance of respecting the maritime legal order based on the 1982 United Nations Convention on the Law of the Sea (UNCLOS)".
With an obvious eye on China, both India and Australia on Monday focused on peace and prosperity in the Indo-Pacific region.
In December previous year, Australian Parliament passed a law to allow the supply of uranium to India.
The prime minister landed in New Delhi late on Sunday for a four-day visit to the Indian capital and commercial centre Mumbai.
The discussions between Prime Minister Narendra Modi and Prime Minister Turnbull and the six agreements signed reflect global changes.
On India's skill development programme, Turnbull said Australia's industry-led vocational education and training system can play a key role training 400 million Indians by 2022.
Free trade talks that had been fast-tracked under the Abbott government have recently ground to a halt, with both sides claiming a "stocktake" is under way.
"Now we are working with India to secure timely conclusion of a quality Regional Comprehensive Economic Partnership, which would provide a significant boost to regional confidence", he said.
There are historical reasons for the delay in its finalisation, and one of them could be a sense of apprehension on the part of Australia regarding New Delhi's commitment, given that the latter has to balance the fallout with its relations with China etc. Australia has invested $7 billion in India and is keen to ramp up investments, Mazumdar said.
Australia is second is the most popular foreign destination for Indians studying overseas after the United States.
Steven Smith smashed three Test centuries in the recently-concluded tour, a rare achievement for an overseas batsman in India.
Mr Turnbull is no stranger to selfies on home soil, either.
With energy security an ever-present issue, India is looking for assurances from Australia that the colossal and highly controversial coal mine can proceed.
In the talks, Turnbull noted Australia's strong support for India's membership of the Nuclear Suppliers Group.