Upping the ante, it called for an immediate end to "human rights violations in Kashmir" and sought permission for Pakistani doctors and paramedics to travel to the state.
Pakistan Foreign Office spokesman said its Foreign Secretary Aizaz Ahmad Chaudhry had given a reply to Jaishankar's proposal for talks on cross-border terror. The reply was handed over to Indian High Commissioner Gautam Bambwale by Chaudhry in Islamabad.
Pakistan has also called for "putting an immediate end to the human rights violations against the innocent people" of Jammu and Kashmir and for providing medical facilities to the injured, "including the permission for doctors and paramedics to travel."
Earlier, Pakistan had on Monday invited India for talks on Kashmir, saying it is the "international obligation" of both the countries to resolve the issue.
Yesterday, India set certain conditions for talks,
asserting that discussions should focus on cessation of terrorist activities in J&K and ending incitement to violence and terror in the Valley.
External Affairs Ministry spokesperson Vikas Swarup said yesterday that Jaishankar had conveyed to his Pakistani counterpart that he accepts his invitation to visit Islamabad but made it clear the discussions should focus first on the pressing aspects of the J&K situation flagged by him.
Deliberations should also focus on denying safe haven, shelters and support to terrorists in Pakistan who have escaped Indian law, Jaishankar said in his letter.
"The ball is in Pakistan's court now. They had made an offer, We have responded to the offer. It is up to them to carry it forward," said Swarup.
The Foreign Secretary said he looked forward to discussing with his Pakistani counterpart the "earliest possible vacation of Pakistan's illegal occupation of the Indian state of J&K".
In his letter, the Foreign Secretary also underlined the importance of bringing to justice all those guilty in Pakistan for the attacks in Mumbai and at Pathankot airbase.
"He said that his visit should provide the opportunity to receive a briefing from Pakistan's Foreign Secretary on progress in this regard," said Swarup.
