In a message on Friday, Mokhber said that India has turned into one of Iran's main partners under Modi’s leadership.
The interim president expressed hope that the Iranian and Indian nations will witness the best relations in Modi's new term.
Modi hailed Mokhber's congratulatory message and said that Tehran and New Delhi will continue to work to expand bilateral relations and promote regional peace, security and prosperity.
Indians began voting on June 1 in the last round of a six-week-long national election that was a referendum on the Hindu nationalist prime minister’s decade in power.
Since first coming to power in 2014, Modi has enjoyed immense popularity. His supporters see him as a self-made, strong leader who has improved India’s standing in the world, and credit his pro-business policies with making the economy the world’s fifth-largest.
The election is considered one of the most consequential in India’s history.