External Affairs Minister (EAM) Sushma Swaraj met South Korean President Moon Jae-in here on Monday.
Swaraj and President Moon shook hands with other officials and then held talks.
The South Korean President is currently on a three-day visit to India, having arrived in New Delhi on Sunday evening.
He and his wife, Kim Jung-sook, were received by Minister of State (MoS) for External Affairs General (retd) VK Singh.
President Moon will next visit the Gandhi Smriti with Prime Minister Narendra Modi, from where the two leaders will head to a Samsung plant in Noida.
President Moon is also scheduled to attend the India-Korea Business Forum later in the day.
On July 10, he will be accorded a ceremonial reception at the Rashtrapati Bhawan.
Prime Minister Modi will then hold official talks with the South Korean President at Hyderabad House, which will be followed by an official lunch.
The two leaders will also address the India-South Korea CEOs Roundtable.
In the evening, President Moon will meet his Indian counterpart Ram Nath Kovind, who will also host a banquet for the visiting dignitary and his delegation at the Rashtrapati Bhawan.
On Sunday, President Moon paid a visit to the Swaminarayan Akshardham Temple in East Delhi.
This is President Moon's first-ever state visit to India after he took over as the President last year.
The South Korean President is leading a delegation comprising senior members of his cabinet, officials as well as industry captains.
A number of agreements are likely to be signed during the visit.