Ban had called on Swaraj on the evening of June 20 at the Manhattan hotel where she is staying.
"The Secretary-General and the Minister then exchanged views on a number of regional issues including Nepal, Bangladesh, the Maldives and Pakistan," according to a readout of the meeting provided by Ban's office today.
The both leaders noted the broad support and appeal for this particular event, it said.
The Secretary-General and the Minister discussed the challenges of climate change and sustainable development, and the need for India's strong leadership in these fields.