Sharif, whose PML-N party is set to form government following its victory in the May 11 polls, made the remarks when Indian High Commissioner Sharat Sabharwal called on him at his residence at Raiwind in Lahore.
They discussed matters related to improving relations between the two countries, PML-N officials said.
Punjab Chief Minister-designate Shahbaz Sharif and senior PML-N leader Ishaq Dar, who is expected to be made federal Finance Minister, were present during the meeting.
Since his party's victory in the polls, Sharif has spoken frequently about his plans to improve relations with India.
However, during a recent meeting with Sharif, army chief General Ashfaq Parvez Kayani reportedly asked the PML-N chief to "go slow" on relations with India.