Speaking as the chief guest at the International Vesak Day celebrations in Colombo, Modi said the ideologies of hate and their proponents in the region are closed to notion of dialogue and hence only open to causing death and destruction.
"The menace of terrorism in our region is a concrete manifestation of this destructive emotion," he said, apparently referring to Pakistan, which is accused of aiding and training terrorists who carry out attacks inside India.
Modi said he believes that "Buddhism's message of peace is the answer to growing arc of violence all over the world."
Lord Buddha's message is as relevant in the 21st century as it was two and a half millennia ago, Modi told the audience which included Sri Lankan President Maithripala Srisena, Prime Minister Ranil Wickremesinghe, diplomats, politicians and several Buddhist leaders from across the world.
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The themes of social justice and sustainable world peace, chosen for the Vesak day, resonate deeply with Buddha's teachings; they are both deeply interdependent and interconnected, Modi said.
He said the countries of south, central, south east and east Asia are proud of their Buddhist links traced to the land of Buddha.
Prime Minister Modi assured India's support to Sri Lanka for the island's nation-building endeavours.
"You will find in India a friend and partner that will support your nation-building endeavours," he said and called on the two countries to uphold ideals of Lord Buddha and promote values of peace, inclusiveness and compassion in policies and conduct.
Modi, on his second visit to Sri Lanka in two years, was earlier received by his Sri Lankan counterpart Wickremesinghe at the venue amid traditional fanfare.
The prime minister lit a lamp - a traditional practice - initiating the UN 'Vesak Day' celebrations, which commemorates the birth, enlightenment, and death of Buddha.
Speaking at the event, Wickremesinghe thanked Modi for being the chief guest at the event.
"Proud to host Vesak Day celebrations in Colombo. I want to thank Prime Minister Modi for being the chief guest during the celebrations," Wickremesinghe said.
"Teachings of Buddhism are relevant in today's world. Buddhism shows a moderate path and need to consolidate social justice," he said.
Modi arrived here yesterday on a two-day visit which is mainly aimed at reinforcing the traditional connect between India and Sri Lanka at a time when China is seeking to make inroads in the island nation.
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