But to Modi, Trump is a new face who supplanted former President Barack Obama, a leader the Indian Prime Minister grew close to in the two years they overlapped in office.
Therefore, he added, India is working on principles such as "minimum government, maximum governance", efficiency, transparency, growth and benefit for all.
Trump's administration has meanwhile indicated it could take a tougher stance on Pakistan, which India has long accused of harboring militant groups.
He is a senior leader of the largest rebel group fighting Indian rule in Kashmir, Hizbul Mujahideen.
From his first visit to the U.S.in 2014 onward, Mr. Modi has sought to woo the U.S by presenting India as a rare confluence of "democracy, demand and demography" and a country with commercial and security interests matching America's.
"We talked about terrorism, extremism and radicalisation and agreed to cooperate on this".
The Prime Minister said India, while following worldwide laws and norms, is also capable of taking the "toughest of steps for our sovereignty, security, peace, our people and progress".
On fighting terrorism, Kugelman said the two leaders have a similar worldview - that "it needs to be destroyed wherever it rears its murderous head". During the meeting President Trump thanked India for ordering defence equipments from the U.S. because "nobody makes it as well as US".
Modi said that India was committed to peace in Afghanistan and rebuilding that country was a top priority.
"We agree on most things and I would say by the end of the day we'll agree on everything", Trump said. Amazon, Uber, Google, Facebook and now Apple, enjoy a free market access to India.
Speaking here ahead of the Modi-Trump meeting, Pande told ANI, "Whenever India and USA come close, Pakistan always reacts".
The Prime Minister had some choice barbs for China as well, saying India does not believe in disturbing the global order to achieve its goals.
"Technology, innovation and knowledge economy are also areas we are actively looking at", he said.
On his part, Trump said that both India and the U.S. have been struck by the evils of terrorism, "and we are both determined to destroy terrorist organisations and the radical ideology that drives them".
"I think the issue of price cap did not come up, but he did talk about looking at Johnson & Johnson, saying let's put a campaign together, especially for school or for girls, sanitary napkins as a joint partnership itself", Aghi said. "And that is now exactly what you have - a true friend".
Ahead of his visit, Modi had said he looked forward to the opportunity of having an in-depth exchange of views. While it was widely expected that both leaders will focus largely on economic issues pertaining to trade and investments, the focal point of their conversation seems to have been combating terrorism in Afghanistan where the menace Taliban has again raised its ugly head where it was clear that U.S. wanted India to play a larger role, sources told BusinessLine.
He said that the United States was looking forward to exporting more energy to India as its economy grew, "including major long-term contracts to purchase American natural gas, which are right now being negotiated, and we will sign them".