About 10,000 people of Indian descent live in Canberra, with many holding key positions in the public service and the commercial sector.
India Australia Association of Canberra president Nishi Puri said Modi's non-partisan approach was why he enjoyed "rock star" status in India and among Indian communities around the globe.
She was excited about the prospect of meeting him for the first time."I am proud of both my Indian and Australian heritage," she said.
"Modi represents a lot of hope. He seems someone you could go up to and he would listen," Puri added.
Modi, the first Indian prime minister to visit Australia in 28 years after Rajiv Gandhi, got an enthusiastic welcome from the Indian community in Brisbane on Sunday after the two-day G20 Summit ended.
In Sydney, he addressed the Indian diaspora at the Allphones Arena on Monday.