Indian deputy commissioner J.P. Singh also accompanied the Indian envoy. He also expressed concern over alleged human rights violations in the Valley, Pakistani media reported.
India accuses Pakistan of pushing in terrorists across the line of control (LoC) in Kashmir to stoke terrorism in Kashmir and other parts of India, a charge Pakistan denies though it admits to supporting a "freedom movement" in Kashmir.
Hoover felicitated Khan over his party's victory in the July 25 general election.
The party of Pakistan's former cricket hero-turned-politician Imran Khan says voting among lawmakers to elect the country's new prime minister will take place August 18. In fact, this has been said that Bisaria is soon going to outline India's case for tougher action by Islamabad against India specific terror groups such as LeT and JeM.
Pakistani prime minister-in-waiting Imran Khan called for more "trustworthy" ties with the United States which have frayed amid USA accusations that Pakistan is aiding Islamist insurgents waging war in Afghanistan, something Islamabad denies.
Khan's PTI emerged as the single largest party with 116 seats, in the recently concluded National Assembly elections.
Bisaria's call on Khan comes after a telephone conversation between Khan and Prime Minister Narendra Modi on 30 July, in which the latter congratulated Khan on his electoral success.
He also presented a bat to the PTI chief as a token of gesture with autographs of cricketers of the Indian national team.
PTI spokesperson Fawad Chauhdry on Thursday said: "Imran will be elected Prime Minister of the country within the first round of vote in the parliament".
"Cricket legends from India and Kaptaan's (Khan) old friends Kapil Dev, (Navjot) Sidhu and Sunil Gavaskar have been invited to attend Oath Taking Ceremony of Pakistan's PM Imran Khan", he said. In his victory speech last month, Khan had said that Pakistan wanted to have a mutually beneficial relationship with the US.