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Trade tensions between the US and China over Beijing's technology policy and other market access issues have added to strains within the region, especially since Trump took office in early 2017.
The so far unnamed robot, decked out with flashing blue and red lights, is a prototype reportedly developed by the police, which can transmit a 360-degree picture of the area it is patrolling.
Chinese Premier Li Keqiang said the region has set a good example of managing those territorial disputes and keeping the peace as it works toward setting a code of conduct to govern navigation.
The two leaders are expected to discuss bilateral defence cooperation and a common vision for maintaining a free and open Indo-Pacific, official sources said.
Modi said he was confident that his visit to Singapore would impart fresh momentum to New Delhi's growing partnership with ASEAN and East Asia Summit nations.
On Wednesday and Thursday, the Prime Ministers and Presidents of the Asean countries will meet representatives of allies such as the US, China, Russia, Japan and South Korea.
Modi is scheduled to speak at the Fintech Festival which has the largest gathering of global Fintech companies and delegates ranging from the industry leaders to smaller start-ups.
Yang Jiechi was co-chairing the second China-US Diplomatic and Security Dialogue with Secretary of State Mike Pompeo and Secretary of Defence James Mattis when he interacted with the media.
Modi and Pence are scheduled to meet during the ASEAN and East Asia Summit in Singapore next week.
EAM spokesperson Raveesh Kumar said Narendra Modi is also expected to participate in a number of other events during the visit.
The conclave is expecting investors from countries like Japan, China, Italy, Germany, Saudi Arabia and South Korea.
The programme will have over 350 social media influencers, around 1,000 delegates and nearly 40 renowned and popular speakers.
Modi, who is here to attend the 13th India-Japan annual summit, said the ease of doing business was his top priority.
During the Governor of Kanagawa, Mr Yuji Kutoiwa's call on PM, they discussed the potential to integrate Japan's artificial intelligence technologies and innovation with India's healthcare initiatives
Modi, who arrived in Japan on Saturday to attend the 13th India-Japan annual summit, detailed India's economic and technological growth during his four-year tenure.