He will meet Prime Minister Narendra Modi, and efforts to expand trade will dominate an agenda also covering energy, education and infrastructure.
According to Canadian media reports, Trudeau is expected to express support for a unified India as per his country's official stance while not opposing those peacefully demanding an independent Sikh state.
Justin Trudeau, the Canadian Prime Minister's much-planned tour to India started on Saturday between ambiguities over his meeting with Amarinder Singh, the Punjab Chief Minister.
Trudeau along with his wife Sophie and three children land at the Delhi airport and were greeted by the minister of state for agriculture Gajendra Singh Shekhawat and Indian ambassador to Canada Vikas Swarup.
The social media-savvy Modi, who has 40.4 million Twitter followers, is also yet to tweet a welcome message to Trudeau as he does customarily for other leaders.
The 46-year-old Canadian Prime Minister is scheduled to visit the Golden Temple in Amritsar, the holiest shrine of the Sikhs.
The government has clarified that PM Modi not meeting PM Trudeau at the airport on his arrival was not a snub, and that it was the insistence of Canada that Trudeau's official engagements begin at the end of the week-long trip to India.
Other than just Justin Trudeau's visit to India, the national security advisers of India and Canada met in Delhi.
Trudeau also talked about his government's policy to open its borders to refugees, and said that his government was investing significant amounts in integration, language acquisition and health care for them, which is contributing to the country's economy. But the truth is this is a problem that has acquired serious dimensions in recent years and affected relatively trouble-free bilateral relations. "The fact that a junior minister was sent to receive Mr Trudeau and his family is most definitely a snub".
Singh responded by saying he looked forward to having productive meetings with Trudeau on his trip.
Trudeau felt that a country like India can and should be leading the way in respecting diversity and highlighting this incredible diversity.
Applauding India for trade potential, Trudeau said that there was an anxiety in the western world about the success of trade here.
However, Malcolm believes Trudeau must denounce Khalistani extremists publicly, while in India, and should apologize to Amarinder. Around 500,000 of these people are of the Sikh religion with roots in India's northern Punjab state, and are seen as a crucial voting bloc by Trudeau's Liberal Party.