From Dublin, Modi sets off for New York this evening to address a UN Sustainable Development Summit and participate in a summit on peacekeeping being hosted by US President Barack Obama.
I am glad that we will soon have direct air services by airlines of both countries. This will not only promote our business links, but also give a strong boost to our tourism ties, says Modi.
On the trade front, he said the bilateral trade and investment ties were growing, despite global and regional uncertainties and the economic partnership can have a strong technology focus.
Modi asserted that India has been a leading voice on universal nuclear disarmament since Independence and will remain strongly committed to that goal.
"I was pleased to exchange views on a broad range of international challenges, including terrorism, radicalization and the situation in Europe and Asia," Modi said at a joint media event with Kenny.
Narendra Modi sought Ireland's support for India's membership of UN Security council and international export control regimes including Nuclear Suppliers Group.
The visit is one of major importance and offers an extensive opportunity for Ireland to reposition itself with one of the largest and fastest growing economies globally.
There was considerable optimism in the Irish media over Modi's visit, going by the coverage in all the leading dailies.
Narendra Modi is first Indian Premier to visit the country in almost 60 years.The last Indian prime minister to visit Ireland was Jawaharlal Nehru in 1956.
Modi also gifted Irish premier Enda Kenny a specially handcrafted piece of silver, marble and roughly-hewn sandstone rock that imagines the Irish symbol of shamrock.
Irish Prime Minister Enda Kenny presented a jersey to Modi during bilateral meeting in Dublin.
Narendra Modi presented to his Irish counterpart reproductions of a selection of historic manuscripts and papers pertaining to two Raj-era Irish officials in recognition of their contributions in India.
Relations between India and Ireland date back to independence and in 2013, the total trade in goods and services was pegged at euro 2.48 billion.
Ireland is home to around 26,000 persons of Indian origin, of which around 17,000 are Indian citizens.
Narendra Modi interacts with Indian diaspora in Ireland