If granted permission, he would be travelling by the June 15 bus along with the visiting Kashmiri separatist leaders, who are scheduled to return the same day after their visit to Pakistan.
The meeting will be attended by Defence Minister George Fernandes, Chief Minister Mufti Mohammed Sayeed and possibly Governor G C Saxena, senior officials said.
The bill has now been referred to a select committee of the legislature.
With uncertainty looming large over the continuance of Peoples Democratic Party-Bharatiya Janata Party alliance, National Conference leader Farooq Abdullah on Saturday said his party is ready to consider a tie-up with the saffron party for government formation if such an offer is received.
The prime minister was accompanied by Union Minister for Parliamentary Affairs Ghulam Nabi Azad, Chief Minister Mufti Mohammad Sayeed.
Jammu and Kashmir Chief Minister Mufti Mohammad Sayeed is likely to resign on October 27 to enable Union Urban Development Minister Ghulam Nabi Azad take over the reins of the state administration on November 2.
Around 15,000 people, including women and children from all over the troubled Kashmir valley, assembled at the Bakshi stadium, which used to be mostly empty during I-Day celebrations.
Three rockets, six boosters, a high explosive 60 mm mortar bomb, four kgs of explosives, a grenade thrower, eight rifle grenades and two hand grenades were recovered.
The SOS Children's Villages of India plans to establish a school and a children's village in the valley.
This is the first attempt by the separatists to reach out to the mainstream parties.
Seventeen-year-old Mushtaq Wani died when the police opened fire at people protesting the alleged beating of some civilians by the army.
Blackwill is scheduled to meet Chief Minister Mufti Mohammed Sayeed, political leaders and some prominent residents, the sources said.
"It (JK) is not a political issue as far as I can see. They have been barking up the wrong tree for the last 50 or 70 years by talking about the politics of it, that the political situation has never improved. We seriously need to look at in terms of how it is a society that is in search for itself," Drabu had said at an event organised by the PHD Chamber of Commerce and Industry in New Delhi on Friday.
Peoples Democratic Party veteran Mufti Mohammed Sayeed was sworn-in as chief minister of Jammu and Kashmir heading a coalition with BJP which, in a clear departure from its earlier stand, agreed to maintain status quo on Article 370 in the common agenda for governance.
Jammu and Kashmir Chief Minister Mufti Mohammad Sayeed has announced the setting up of a Rs 100-crore (Rs 1 billion) multi-purpose shopping arcade in Srinagar.
People had lined up on the either side of the road to greet the President, who drove to the circuit house from the airport.
Concerned over the series of attacks on mobile phone towers in the valley, the Centre also issued an advisory to the state government.
"If we (the Kashmiris) don't talk about it (dialogue), who will? Not a Bihari, not a Punjabi," she said.
Opposition National Conference on Thursday termed the statement of union home minister on the revocation of Armed Forces Special Powers Act in Jammu and Kashmir as "unfortunate and counter-productive
Ten new faces, four of them belonging to Congress, were inducted taking the strength of the ministry to 39.
Former Jammu and Kashmir Chief Minister Omar Abdullah on Saturday sought to link the spate of terror attacks in Sopore area with Defence Minister Manohar Parrikar's alleged remark about revival of 'Ikhwanis', an outfit of reformed militants in the state.
The chief minister invoked the legacy of former Chief Minister Mufti Mohammad Sayeed, by sending a strong message of peace and reconciliation to both India and Pakistan.
The 45-year-old separatist leader has been booked under the harsh law for waving Pakistani flag and chanting anti-India slogans at a rally in Sringar.
Omar also said he would never prefer horse trading to end the stalemate.
All security arrangements are in place for the rally, which will be the centrepiece of Vajpayee's two-day visit to Jammu and Kashmir.