According to Nepal news, both the leaders also discussed electricity import from India, signing of extradition treaty and the agreements reached during Prime Minister Madhav Kumar Nepal's visit to India last month.
Talking to reporters after the meeting, Koirala said that the discussion basically revolved around building greater cooperation between India and Nepal, Constitution drafting and the peace process.
Earlier Nirupama Rao met her Nepalis counterpart Gyan Chandra Acharya and discussed joint strategy for implementation of the 34-point agreement signed between the two countries last month.
During the meeting, she assured substantial amount of Indian investment in Nepal if peace is established in the country.
Nirupama Rao met Prime Minister Madhav Kumar Nepal, Deputy Prime Minister Bijay Kumar Gachhadar, Chief of Army Staff Chatra Mansingh Gurung and Maoist leader Babu Ram Bhattrai.
She also visited Pashupatinath temple and offered her prayers.