In wide-ranging discussions with Singapore leaders, including its Prime Minister Lee Hsien Loong and President Tony Tan Keng, Modi stressed on the idea to 'create many Singapores' within India.
He also pitched for issuance of rupee bonds and infrastructure bonds in Singapore.
Besides, Modi sought faster completion of Regional Comprehensive Economic Partnership (RCEP) to create a new economic block within Asia.
The Prime Minister also invited his Singaporean counterpart to visit India, especially Gujarat to see with his entire family the Asiatic lion, which forms part of the symbol of Singapore.
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At the media briefing about Modi's meetings here, Secretary (East) at the Ministry of External Affairs Anil Wadhwa said there were broadly 14-15 key issues including skills development, urban development, tourism, civil aviation and financial services, that were discussed in the meetings the Prime Minister has had here.
"The disinvestment of Navratna PSUs also was discussed and Modi invited Singapore companies to take part in the disinvestment of these companies," he said.
India is looking at selling stakes in Public Sector Undertakings to raise around Rs 70,000 crore in the current fiscal. PSUs are classified into three categories - Maharatna, Navratna and Miniratna - mainly based on financial criteria to give them greater operational autonomy.
According to him, Prime Minister said that if 'Make in India' is to succeed then skills upgradation is very important.
At the briefing, the Ministry of External Affairs
spokesperson Vikas Swarup said the Prime Minister was asked last night by his Singaporean counterpart to come for an 'impromptu dinner' to a restaurant in Little India and to see the Diwali lights in that area.
Wadhwa said the restaurant is frequented by the common man and Singapore PM said he had visited that restaurant 30 years ago and still remembered that.
According to Wadhwa, the two leaders talked about Amaravathi, the new capital of Andhra Pradesh being built with help from Singapore.
"Modi said that the UP government has proposed to build a new holy city in the state and Singapore can explore working with UP government on that project. He also talked about creating many Singapores in India," he said.
"Another focus area was civil aviation and Singapore Prime Minister asked whether the sector can be further opened up, given Singapore being an advocate of open sky policy. Doubling of the flights from Singapore to India was also discussed.
"Modi said India will soon come out with its new aviation policy where a lot many issues would be covered including for increasing the connectivity including to the Buddhist circuit," Wadhwa said.
Separately on a question about the prevailing issues in Maldives, Swarup said: "Importance of political pluralism has been part of India-Maldives ties" and the foreign ministers of the two countries have discussed various issues in their recent meetings.
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Later, Modi tweeted that the focus on technical education and skill development was impressive at ITE and thanked Singapore's Prime Minister for taking him around the institute.
According to him, ITE has many hubs and he visited maritime training, aerospace and precision engineering hubs. Modi spent nearly half an hour there.
Modi also paid homage at Indian National Army (INA) Memorial Marker here and remembered Subhash Chandra Bose and other heroes of India's independence struggle. He met Indian school children at the Memorial who were holding Indian flags and they clicked selfies with the Prime Minister.
The Marker located at Esplanade Park here is one of the 11 erected in 1995 to commemorate 50 years of the end of the second World War. The Marker stands at the site of the original memorial dedicated to an unknown INA soldier, which was destroyed after the war.