As per the Simla Agreement, all outstanding issues between India and Pakistan should be treated as bilateral ones, while the Hurriyat has been insisting that it be made a party to talks to resolve the Kashmir problem.
Geelani also criticised porous borders, self-governance and other formulas being put forth by the Pakistan President, General Parvez Musharraf, to meet India midway in resolving the Kashmir dispute.
However, the government's response in the event of the Hurriyat pulling out of the talks was not clear.
A massive manhunt is underway for three foreign terrorists, possibly of the Lashkar-e-Taiba, responsible for the deadly attack on pilgrims in Jammu and Kashmir's Reasi that resulted in the loss of nine lives, including a two-year-old, officials involved in the investigation said on Monday.
The moderate faction of the Hurriyat Conference decided on Sunday, not to meet the interlocutors appointed by the Centre for Jammu and Kashmir, saying such an exercise was aimed at keeping the issue lingering.
The moderate Hurriyat Conference on Wednesday condemned the killing of two sisters at Sopore in Jammu and Kashmir's Baramulla district terming it as an inhuman act. The statement hit back at those who had questioned separatists' silence over the killings.
Hurriyat softliners to meet Pandit leaders in Jan
Pakistan Foreign Secretary Riaz Mohammad Khan said
The hard-line faction of the Hurriyat Conference led by Syed Ali Shah Geelani has issued a curious 11-day protest schedule asking people of Kashmir to carry out normal activities from dusk to dawn on strike days. As per the schedule, only two days -- September 19 and 22 -- have been exempted from strikes and protests by the Geelani-led Hurriyat faction, which is spearheading the ongoing agitation in the valley.
The Hurriyat leaders were also prepared for talks with New Delhi before the visit.
However, he said the Centre needed to fulfil its previous commitments.
The meeting comes ahead of Dr Singh's meeting with Musharraf to be held on the sidelines of the UN General Assembly.
On the controversial AFSPA, the home minister said, "We will also think of revoking AFSPA."
The prime minister has been briefed about the talks held earlier last year during the NDA regime.
An eight-member delegation of PoK is here to participate in a heart-to-heart between people of Jammu and Kashmir and that of PoK.
The National Investigation Agency (NIA) on Monday attached 17 properties of Kashmiri businessman Zahoor Ahmed Shah Watali in a terror funding case, the agency said.
The Hurriyat Conference has said that they will take this step to bring peace into the valley and there must be initiatives by the Indian government.
The decision is a 'small yet significant step' towards the final settlement of the Kashmir issue, Hurriyat leader Abdul Gani Bhat said.
Before leaving for a conference of Asian NGOs to be held in Hyderabad, Hurriyat leader Mirwaiz Umer Farooq said that during the meet he would highlight the need for tripartite talks on the issue.
The people of Jammu and Kashmir had high expectations from the Prime Minister's visit with regard to the political resolution of the Kashmir issue."
This is the first meeting between the Hurriyat and an Indian prime minister.
'We know the resolution of the Kashmir issue can only be found through dialogue. We are not shying away from that,' Mirwaiz Omar Farooq said.
Union Home Minister Amit Shah said Prime Minister Narendra Modi government's message is loud and clear that anyone acting against the unity, sovereignty, and integrity of the nation will not be spared and face the full wrath of the law.
Bharatiya Janata Party leader Yashwant Sinha on Tuesday created ripples as he led a five-member delegation of civil society members to meet separatist leaders Syed Ali Shah Geelani and Mirwaiz Umar Farooq in a bid to break the three-month impasse in Kashmir triggered by the killing of Hizbul Mujahideen militant Burhan Wani.
The others named in the PE are Naeem Khan, Farooq Ahmed Dar alias 'Bitta Karate' and Gazi Javed Baba of Tehreek-e-Hurriyat.
Welcoming resumption of foreign secretary-level talks between India and Pakistan, chairman of moderate faction of Hurriyat Conference Mirwaiz Umer Farooq on Friday said the two sides should hold dialogue at the prime ministerial level to resolve the Kashmir issue.
The suspension was preempted to stop him flying to New York for an event where he was likely to have spoken against India, official sources said on Tuesday.
Condemning the attack on separatist leader Fazal Haq Qureshi, Hurriyat Conference on Saturday said it will not be cowed down by such acts and will pursue the path of dialogue for resolving the Kashmir problem.
Peeved over the silence of leaders of separatist groups, their factions in Pakistan and in occupied-Kashmir are making desperate attempts to foment trouble in Jammu and Kashmir by giving calls from across the border for 'bandhs' and strikes to mark the death anniversary of Mirwaiz Farooq and Abdul Gani Lone, officials said.
Expressing grief over the Uttarakhand tragedy, the moderate Hurriyat Conference on Friday demanded restricting Amarnath Yatra to an earlier schedule to safeguard the fragile environment of Himalayas.
A senior Hurriyat leader has created a flutter by saying that two separatist leaders and his brother were killed by "our own people" and not security agencies, prompting Jammu and Kashmir government to term it as a "late admission" and a call for a probe to fix responsibility.
Javadekar was at the event, where presence of his ministerial colleague V K Singh last year had drawn flak from the media, for around 20 minutes, and extended his 'best wishes' to the Pakistani people on the sidelines.
The state police on Friday arrested one of the two activists of the hardline Hurriyat Conference who were allegedly involved in a conspiracy to engineer violence in Kashmir valley by planning the killing of 10 to 15 people during a procession. The police swooped down at a place on Narbal-Magam Road and arrested Shabir Ahmed Wani, district president of the Hurriyat Conference led by Syed Ali Shah Geelani.
The police officials stated that Mir, who retired as a senior superintendent of police in 2012, was shot inside the mosque located in the Gantmulla locality of Sheeri area.
Mirwaiz to lead Hurriyat delegation to PoK