It is the first meeting between the two leaders after India boycotted the high-profile Belt and Road Forum.
North Korea considers Assad's Syria an ally, so it views Donald Trump's decision to strike Syria as a message to Pyongyang as well.
India and Japan are set to intensify defence cooperation with the two sides likely to launch a security consultative framework involving their foreign and defence ministers.
Modi's comments on extreme rhetoric by some regional leaders was an obvious reference to Pakistan Prime Minister Imran Khan, who has been making provocative comments against Modi government and Indian action in the last few days.
We have seen great strides in all-around cooperation, Chinese foreign ministry spokesperson said.
While trying to persuade North Korea to give up its provocative actions, engaging China is the first hurdle that world leaders will have to deal with, says Rajaram Panda.
'Pakistan will try to escalate covert operations through terrorism,' says Dr Shalini Chawla.
'By the time he came out after nearly five hours, he had a one-to-one conversation with the President, a delegation-level meeting, a reception, a dinner, a tour of the White House and a joint statement of a kind none of his predecessors ever had,' says Ambassador T P Sreenivasan.
The Pakistani PM explained how the war-like scenario could erupt in the middle of the current tensions between the two nuclear-armed neighbours. He said Kashmiris would protest and India would launch a crackdown on them.
Trump congratulated Modi on his election victory and said that the two countries would work together in many areas including military.
The BRICS summit made clear that China's support for Pakistan is unwavering. China will continue to pressure India to ease tensions with Pakistan and resolve the Kashmir dispute.
According to official sources, the primary objective of Wei's visit is to deliberate with Indian defence establishment on implementation of decisions taken by Modi and Xi in their informal summit in Wuhan in April.
'As events at Kargil and Pakistan's continued support to terror activities in India prove, Pakistan has always felt that the break-up/destruction of India was within its capability,' notes Colonel Anil A Athale (retd).
Boosting trade and simplifying visa regime, apart from security and defence cooperation, were among the key bilateral issues. The two leaders also discussed regional and international matters of mutual interest.
Modi may take satisfaction from his display of considerable political skill in managing a mercurial, temperamental and unpredictable US president and nudging him into uncharacteristic restraint and even carefully orchestrated remarks. This personal chemistry will come in handy if Trump returns as president in the November elections, says former foreign secretary Shyam Saran.
'We should give (Mueller) credit. In general, he conducted an objective probe and confirmed the absence of any traces and collusion between Russia and the current administration'
'Headley's testimony indicates to what extent the Pakistan government and its proxies can go to destroy not only Indian scientific talent but also international expertise.'
'Unlike Trump, who has an isolationist approach, Bolton would like to roam around the world, trampling upon any sign of dissent,' says Ambassador T P Sreenivasan.
A proposed nuclear deal aims to stop Pakistan from building small tactical nuclear weapons that could fall into terrorist hands.
India and Russia on Thursday decided to expand cooperation in various sectors as they signed 16 pacts, including on joint manufacture of 226 military helicopters.
All Indian prime ministers must know that the route to their Nobel Peace Prize doesn't go through Pakistan, says Rajeev Sharma.
'While many Chinese policy makers dismiss the political, economic and technological component of US-India relations, they express caution on the defence-related ties which also happens to be a major driver in US-India relations,' explains China expert Srikanth Kondapalli.
The camaraderie between Modi and Obama has taken the India-US relationship to unprecedented and transformative levels.
Modi, who is leaving for Iran on Sunday, will also pay a two-day visit to Qatar from June 4.
'The attack on the Pathankot base constituted an act of war. Yet Modi's only public comment up until now on that attack has been to blame it on "enemies of humanity".' 'Modi came to power talking tough about Pakistan. But in office, he has pursued a Pakistan policy that has lost both direction and purpose,' argues Brahma Chellaney.
United States President Barack Obama will have a tight schedule during his three-day visit starting January 25, as he will hold talks with top leadership in New Delhi on ways to make progress on key issues like defence and civil nuclear agreement and attend the Republic Day celebrations as the chief guest, among other engagements.
United States President Barack Obama may cancel his scheduled visit to Moscow to meet his Russian counterpart Vladimir Putin, as tension builds up between the two countries over fugitive intelligence leaker Edward Snowden, according to media reports.
Immediate NSG membership will not help India realise its nuclear ambitions any faster. It could have easily left the process take its own course, instead of running a high-stakes campaign to get in, says B S Raghavan.
Chinese President Xi Jinping will make his first state visit to the United States in September, China said on Wednesday, hours after President Barack Obama spoke to him and called for "swift work" to narrow down differences on cyber theft, pace of reform and currency issues.
'Till today, we don't know what PM Modi discussed with Xi Jinping and Vladimir Putin, but we have been told that the relations have been reset.' 'We have no evidence from China to show that anything has changed, even though India had made several gestures in preparation for Wuhan,' says Ambassador T P Sreenivasan.
Indian businesses in the US have created about 91000 jobs in the US.
United States Secretary of State John Kerry on Monday said both India and United States have invested in the relationship and will continue to deepen it by creating a healthier, more secure and prosperous future to be able to impact policies that affect the world.
"Both India and China are victims of terrorism and the region was suffering from the menace. The prime minister said no country is immune from terrorism and on this issue, we cannot afford to have any differences," MEA spokesperson Vikas Swarup told reporters after the meeting.
Modi is courting Japanese investment in an ambitious industrial "corridor" to run between Delhi and Mumbai.
India is keen on the issue of equal share holding since it doesn't want a repeat of the distortions that have crept into Bretton Woods institutions like International Monetary Fund, World Bank and the Asian Development Bank in which rich countries like the US and Japan have a strangle hold.
This will be his first visit to India as President.
Prime Minister Narendra Modi on Thursday said even though India's options have increased, Russia will remain the country's "most important" defence partner as Moscow offered to fully manufacture in this country one of its most advanced helicopters.
Climate change and US-India collaborations in renewable energy resources will be up for discussion at the US-India energy summit coinciding with Prime Minister Narendra Modi's visit to Washington, DC, later this month, reports Aziz Haniffa.
India and Russia are involved in talks to sort out the nuclear liability issues before they sign an agreement for setting up Units III and IV of the Kudankulam power plant in Tamil Nadu during Prime Minister Manmohan Singh's annual summit with President Putin in Moscow next week.
The PM will pay a two-day visit to Japan from October 28-29 to hold the annual India-Japan summit with Abe. The focus of the visit will be to further expand cooperation in the Indo-Pacific region, carry out joint infrastructure projects in third countries and further boost ties key sectors like defence and trade.