Hagel, who is here on a three-day visit, called on the prime minister along with members of his delegation.
Hagel arrived here Thursday evening on a visit aimed at boosting defence and strategic bilateral ties. He met External Affairs Minister Sushma Swaraj in the morning Friday before she left on a four-day visit to Myanmar.
Hagel's visit to India, his maiden trip as defence secretary, comes less than a week after that of Secretary of State John Kerry and Commerce Secretary Penny Pritzeker.
He is also slated to meet Defence Minister Arun Jaitley and National Security Advisor Ajit Doval.
The visit comes ahead of the summit meeting in Washington between Prime Minister Modi and US President Barack Obama Sep 29-30.