Syed Akbaruddin, spokesman for the ministry of external affairs, said Modi told Ban that "those countries that are contributing troops to United Nations should have an effective say in decision making and mandates because they put their troops' life at stake when they fulfill mandates of the UN."
India currently contributes 8,104 personnel to UN peacekeeping operations around the world.
"The secretary-general thanked India for its significant contribution to United Nations peacekeeping operations," the secretary-general's spokesperson said.
"The secretary-general expressed his admiration for the prime minister's focus on improving the socio-economic well-being of all Indian people."
Another issue raised by Modi during the meeting was reforming the UN. Akbaruddin said Modi told Ban that he "should take the lead in trying to reform various aspects of the working of the UN" and India was ready to work with him.
Answering a reporter's question, Akbaruddin said that while UN reform issues like expansion of the Security Council, which India is strongly pursuing, were in the domain of the entire membership of the UN, Modi had in mind those specific reforms in the working of the world body that the secretary-general himself could undertake.
Modi and Ban also discussed regional issues with the prime minister outlining his initiatives for working with South Asian neighbours and how he intended to take them forward, Akbaruddin said.