During her week-long stay here, Swaraj, leading a high- powered Indian delegation, is expected to hold about 20 bilateral and trilateral meetings with leaders attending the session.
Swaraj, was received at the airport by the Indian Ambassador to the US, Navtej Sarna, and India's permanent Representative to the United Nations Syed Akbaruddin.
She would kick off her official engagement later today with a trilateral meeting with her American and Japanese counterparts Rex Tillerson, and Taro Kono respectively.
In a day jam-packed with consecutive meetings, Swaraj will also participate in a high-level meeting on UN reforms, hosted and chaired by US President Donald Trump.
India is among the 120 countries which have supported the reform efforts of the UN Secretary General.
In a preview of Swaraj's engagements, Akbaruddin had said that issues of climate change, terrorism, people centric migration and peacekeeping are other key focus areas for India this year.
She will address the UN General Assembly on September 23.
Akbaruddin in an interaction with Indian reporters ruled out a bilateral meeting between Swaraj and her Pakistani counterpart Khawaja Asif.
However, the two leaders are likely to see each other during several multilateral meetings, including that of SAARC and the Shanghai Cooperation Organisation (SCO).
Swaraj is scheduled to leave for India, a day after her address to the UN General Assembly.
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