This is the first attempt by the separatists to reach out to the mainstream parties.
With his claim that some ministers in Jammu and Kashmir were paid to buy stability, former Army chief V K Singh has opened a "can of worms" and has undermined the legitimacy of successive governments in the state since 1947, moderate Hurriyat Conference chairman Mirwaiz Umar Farooq said.
The deputy prime minister said the Centre was willing to hold talks with 'any group, which will lay down arms and shun the path of violence'.
The Hurriyat leader is suffering from suspected malignancy of kidney.
They also emphasised that Pakistan should play an "active role in highlighting the human rights violations" in Jammu and Kashmir at international fora.
Delegations of Kashmiri Pandit organisations on Friday met Union Minister Jitendra Singh seeking the Centre's intervention in allowing a pilgrimage to Kounsarnag Lak in South Kashmir, a day after locals had protested against the event.
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.
Jamaat-e-Islami leader Syed Ali Shah Geelani told Pakistan's Friday Times that the two militant outfits 'have never acted in a manner that is against humanity or morality'.
In an interview to Kashmir daily The Rehmat the outfit's spokesman Junaid-ul-Islam claimed the Hizb was not carrying out suicide attacks.
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.
All Party Hurriyat Conference chairman Abdul Gani Bhat welcomed the resumption of the bus service between Delhi and Lahore.
Rashid used to be a member of the Democratic Freedom Party, but quit in 2001 following difference with its leader Shabir Shah. He later joined the Muslim League, a constituent of the Hurriyat.
Jamaat-e-Islami has removed the hardline leader in an attempt to moderate the extremist voices in the separatist amalgam.
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 majority of the residents chose to stay indoors due to heavy deployment of security forces for the Republic Day and very few vehicles, barring those of security forces and VIPS, were seen on the roads.
"We intend to talk to individuals and groups who want peace and normalcy in Kashmir Valley," Home Minister Rajnath Singh said before the departure of delegation comprising 30 members from 20 parties.
Vohra said he would first meet important people in the legislature and based on those interactions, drwa up a programme for future talks.
The amalgam was on Saturday served a notice to vacate the premises in Malviya Nagar, Hurriyat sources said.
The separatists termed the state government's appeal for help to restore normalcy as "childish and illogical".
'They (the Centre) have been talking in Mizoram to militant organisations... I don't think that option should be closed (in Kashmir),' the Jammu and Kashmir chief minister said.
He was hinting at the Hurriyat Conference, which said it is ready for talks with the government on the Kashmir issue if it is allowed to visit Pakistan to talk to militant groups there.
Expressing serious reservations regarding the court martial of army personnel involved in Machil fake encounter, the moderate, All Parties Hurriyat Conference chairman Mirwaiz Moulvi Umar Farooq on Friday said, "Machil and all such cases should be heard in civil courts under wide public gaze instead in the closed rooms."
Violence continues to scorch south Kashmir following the killing of 'poster-boy' militant Burhan Wani with the death toll going up to 34.
For the first time in 25 years since the start of militancy in Kashmir, the separatists have not called for a general strike on Martyrs' Day on Monday in view of the fasting month of Ramzan.
Srinagar is under a massive security blanket for the Prime Minister, Narendra Modi's poll rally on Monday afternoon.
"We condemn the brutal use of force by Indian security forces against peaceful and unarmed protesters," it said.
Normal life was disrupted in Kashmir Valley on Friday due to a strike called by hardline Hurriyat Conference to protest the encounter killing of seven men by the Army in Kupwara district.
The ban comes after Rajasthan and Jammu and Kashmir too stopped the sale of meat.