The UN chief met Sharif yesterday and talked about the political and prevailing security situation in Pakistan.
"The Secretary-General and the Prime Minister also discussed the need for improved relations between Pakistan and India," according to Ban's spokesperson.
The secretary-general also expressed hope that Pakistan and Afghanistan would continue to improve their bilateral ties.
Ban also conveyed his condolences to Sharif for the victims of the recent floods in Pakistan and his concern over the devastation caused by them.
Sharif will address the UN General Assembly on Friday.
Prime Minister Narendra Modi will also reach New York today for his five-day visit to the US.
But a meeting between the two leaders on the sidelines of the UN General Assembly is unlikely.

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