"For unilateral ceasefire, there has to be groundwork. It was just a suggestion but it was not a point of discussion", they said.
State BJP spokesman Arun Gupta said, "We want the people of Kashmir to live peacefully and they have every right to live peacefully".
In the meeting it was chose to request the national leadership to consider and announce unilateral ceasefire in view of upcoming Ramadhan and Amaranth Yatra.
"We don't believe in the unilateral ceasefire as it is not in the national interest".
"At present no relaxation should be given". Two militants die and a few days later, new ones join the ranks.
"We have a strong view".
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Mehbooba Mufti's government in Jammu and Kashmir suggested a unilateral ceasefire in Jammu and Kashmir during the overlapping periods of Ramzan and Amarnath Yatra, and the country's security establishment think it is doable.
On stone pelting in Kashmir, Sethi said there were "stone pelting units" operating from Shopian to Baramulla in Kashmir.
The decision was taken during an all-party meeting, where CM Mufti said the BJP-led NDA government would be approached with a request to halt operations of the security forces during these months. "'We are not a party to any such thing", they reiterated.
In the backdrop of encounters and civilian killings in Kashmir, Chief Minister Mehbooba Mufti on 9 May pushed for a unilateral ceasefire for the duration of Ramzan, which begins mid-May, and the annual Amarnath pilgrimage in August.
After an all-party meeting on Wednesday, Ms Mufti had said "all of us agree that we all have to appeal to the government of India to consider a ceasefire".
Mufti had said that a ceasefire would provide relief to the people and help create a better atmosphere in the state. The Indian Army has previously said that Pakistani forces deliberately target innocent villagers through mortar shelling. "You (Mehbooba) will have to talk to separatists like at the time of Vajpayee saheb". The situation on the border was different that time. "It can not be accepted that we announce a ceasefire, despite their (militants) continuous attacks on our security forces".