The US side is yet to respond to the invitation but initial indication has been positive, it is learnt.
These 10 images show that it's an odd world out there.
In Tokyo's trendy Shibuya, elated supporters streamed out of sports bars after the final whistle at around 1 a.m. local time, the sound of horns and "Nippon" chants filling the streets as they converged upon the district's iconic pedestrian scramble.
Trump abruptly rejected the text of the consensus statement and bitterly insulted Canadian PM Trudeau.
India and Japan on Friday sought a peaceful solution to the territorial disputes in the strategic South China Sea, saying parties involved in the matter must not resort to "threat or use of force", in remarks that could anger China which is opposed to any outside interference.
India has already shortlisted the names of two-three heads of states for extending invitation to be chief guest at the Republic Day parade.
Normally a star-studded display teeming with celebrities, the Tokyo Olympics ceremony was low-key, with fewer than 1,000 people in attendance, strict social distancing rules and signs calling on spectators to "be quiet around the venue."
US president called Abe and expressed his solidarity.
Modi, who was in Osaka, laid special emphasis on building a disaster resilient future.
"We will be doing something very rapidly to do with the additional security for our country. You'll be seeing that sometime next week," Trump said.
The Badminton World Federation (BWF) on Wednesday said it might freeze the world rankings for a while as it works on a "fair solution" to the Olympic qualification process after the coronavirus pandemic forced a postponement of the Tokyo Games to 2021. There have been growing calls to freeze the world rankings after cancellations and postponements wrecked the sport's calendar. Indian shuttlers Saina Nehwal, B Sai Praneeth, Parupalli Kashyap and H S Prannoy have been leading the way in expressing concerns.
In 2013, India had displayed the Inter Continental Ballistic Missile Agni V during the Republic Day Parade. The chief guest at that time was Bhutanese King Jigme Khesar Namgyel Wangchuck.
The United States Olympic and Paralympic Committee said it had listened to feedback from athletes and was encouraged by a clearer path towards postponement. Major sporting nations Australia and Canada withdrew on Monday as organisers came under mounting pressure to postpone the event for the first time in its 124-year modern history.
The rupee depreciated by 17 paise to end at nearly one-month low of 61.72 against the greenback on Friday on sustained dollar demand even as domestic equities surged to new highs.
The International Olympic Committee does not plan any "drastic" decisions about the Tokyo 2020 Games, saying on Tuesday it remains fully committed to the event being staged in four months time despite the global spread of the coronavirus. The IOC said in a statement following discussions with international sports federations that changes would need to be made to the qualifiers due to the impact of the virus but it plans to go ahead with the July 24-Aug 9 Olympics.
It is the first break in the four-year cycle for the summer Olympics since the 1940 and 1944 Games were cancelled because of World War Two.
Japan's confirmed coronavirus infections rose above 1,000 as Olympics organisers dismissed speculation that the Tokyo Summer Games could be cancelled.
The PM will have an audience with the Emperor of Japan and hold the annual summit meeting with his Japanese counterpart Shinzo Abe that could see a civil nuclear cooperation pact being inked.
A summary of sports events and persons who made news on Tuesday
The Indo-Japanese nuclear deal may not come easy considering India's Civil Nuclear Liability Act provisions which had earlier put off suppliers like General Electric, says Debalina Ghoshal.
The Modi-Xi meeting assumes significance as India-China relations have followed a southward trajectory over contentious issues.
A Japanese delegation will soon visit India to study the opportunities
'During my visit to Japan and after meeting with Prime Minister (Shinzo) Abe, I gladly recall that in our joint declaration we mentioned Asia-Africa growth corridor and proposed further conversation with our brothers and sisters of Africa,' Prime Minister Modi said.
The Korean summit, laden with symbolism in everything from the choice of location to the mango mousse for dessert, could just be the first round in a continuing dialogue, says Dr Rajaram Panda.
China is keen to get Indian bullet train deals as it would provide a major opening for it to win projects abroad.
South Korea Defense Ministry spokesman Kwon Ki-joon, said that "several projectiles" flew about 1,000 kilometers.
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.
'Ahmedabad-Mumbai bullet train will not begin to address any of the many problems Indian Railways faces.'
A video posted by the IS warns that Kenji Goto will be executed within 24 hours.
An official close to the organising committee, who is involved in drafting the scenarios, said they have been asked to make a simulation in case of a postponement.
Rediff.com's Vipin Vijayan, who is travelling with Prime Minister Manmohan Singh to Japan, reports from Tokyo.
Tokyo marathon which last year saw close to 38,000 amateur participants, was scaled back to just a few hundred professional athletes, with the public strongly discouraged from lining the route. In past years the event attracted more than 1 million roadside spectators.
Forex dealers said besides increased selling of the American currency by exporters and banks, the dollar's weakness against other currencies overseas also supported the rupee, but a lower opening in the domestic equity market limited the rise.
The 31-year-old captain has 6,000 flight hours and the co-pilot more than 5,000 flight hours, the statement said.
For 20 years, the stock market headed nowhere, and this has created permanent aversion.
Ahead of his visit to Japan, Prime Minister Narendra Modi on Thursday tweeted in Japanese to strike a chord with the Japanese people whose "scale of innovation" he admired.
Modi, flanked by Trump, on Monday categorically rejected any scope for third party mediation on Kashmir.
The India-Japan 2+2 dialogue added strategic heft to the special relationship in the wake of growing Chinese assertiveness on regional affairs, points out Dr Rajaram Panda.
Firm equity market failed to restrict the rupee's fall against the dollar