Abdulla Yameen Abdul Gayoom, President of Maldives, arrived at Hyderabad House for a courtesy meeting with Prime Minister Narendra Modi.
Modi greeted Gayoom with a handshake and exchanged pleasantries before both stood for a photo opportunity.
Modi had earlier met Afghanistan President Hamid Karzai.
Following his meeting with the leaders from Afghanistan and Maldives, he is scheduled to meet leaders from Sri Lanka, Bhutan, Mauritius, Nepal.
All eyes would be on Pakistan Prime Minister Nawaz Sharif who will hold meeting with Modi at 12.10 a.m. Bangladesh Parliament Speaker Dr. Shirin Sharmin Chaudhury will meet Modi at 1245 hours.
Earlier Modi started his day by assuming charge at the Prime Minister's Office (PMO).
Narendra Modi was administered oath of office and secrecy by President Pranab Mukherjee as India's 15th Prime Minister along with his 44-member Cabinet on Monday evening.