The lawmakers were told that the legal team was working on the case and will present its case with full vigour at the next hearing of the ICJ.
This is the first time when a high-level diplomat had accepted that Kulbhushan Jadhav, a former Navy officer and a resident of Mumbai who was arrested by Pakistan, is alive.
The world court accepted India's arguments and stayed the execution of Jadhav on the same grounds.
Speaking to journalists here after a meeting of parliamentary committee on national security, he said Pakistan would go to the ICJ on June 8th with full preparation and with a will to win the case. "The judicial process of the case will be discussed in that next meeting", he added.
Attorney General for Pakistan Ashtar Ausaf Ali had briefed the committee members on the performance of Pakistani lawyers at the ICJ. In April Jadhav was convicted by a Pakistani military court and was sentenced to death.
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A senior lawyer, with vast experience of worldwide arbitration, was quoted as saying that it was necessary to revamp the legal wing of the Foreign Office because it failed to give proper advice to deal with Jadhav's case.
The government also came under criticism from the Opposition parliamentarians for the "poor handling" of the case at the court.
Abdul Basit described Kulbhushan Jadhav's case as "highly sensitive", especially at a time when the relationship between India and Pakistan is deteriorating.
The report comes just days after ICJ stayed Jadhav's execution and also endorsed the Indian request for consular access to him.
The ICJ order read: "Pakistan shall take all measures at its disposal to ensure that Jadhav is not executed pending the final decision in these proceedings". The two countries last faced off at the ICJ 18 years ago when Islamabad sought its intervention over the shooting down of its naval aircraft.