"This is a chance for India to really assert herself on the world stage in all spheres," he said.
Vaya, however, had a note of caution for Modi, who is widely seen in India and abroad as a Hindu hardliner.
"I don't want him to get sidetracked by jingoism or do anything under Hindu nationalists' pressure which may tarnish his name... Modi is known as pro-development and pro-business. Let that be his strong point and legacy."
Not all in the Indian diaspora are fans of Modi or enthused by the Bharatiya Janata Party's runaway victory that has made it the first party in three decades to achieve a single-party majority in parliament.
"It's the will of the majority. I am sceptical of how his policies will translate to long-term growth of India, not just in big cities," said California-based Nandita Bhandari Verma, working as the marketing director of a software company.
Belgian researcher Marianne Keppens, a coordinator of India Platform, a forum for collaboration between European and Indian universities, says the Modi victory was significant.