Curfew-like restrictions have been imposed and separatist leaders have been detained.
Malik again insisted on his physical appearance in the hearing on the killing of four Indian Air Force personnel in 1990.
Singh's meeting with Malik comes a week ahead of his talks with a cross-section of political parties and separatists groups from the state.
Mushtaq Ahmed Zargar, who was involved in a series of terror attacks in Jammu and Kashmir and was one of the released terrorists in the hijacking of Indian Airlines flight IC-814 in 1999, has been designated as a terrorist by the Union government.
They were protesting against alleged human rights violations in Kashmir.
Dulat, who was advisor on Jammu and Kashmir to the central government during the tenure of former prime minister Atal Behari Vajpayee, also advocated the need for starting a dialogue with Pakistan.
This has also raised concerns over undetected infiltrations from across the Line of Control and terrorists potentially residing in the outskirts of cities and villages, they said.
Ali Mohammad Mir, who is the prime accused in the kidnapping case after Malik, had taken Rubaiya Sayeed in his vehicle to Sopore from Srinagar and kept her at a guesthouse.
London-based Jammu and Kashmir Liberation Front pans other separatists who gave the Kashmir roundtable a miss.
Human Rights Forum chairman Mohammad Ahsan Untoo and Jammu Kashmir Liberation Front Vice-Chairman Javed Ahmed Mir were trying to take out a procession against the death sentence given to three persons in the Parliament attack case.
Two policemen were injured when Jammu and Kashmir Liberation Front supporters clashed with security men in Lal Chowk area of the city after Friday prayers demanding handing over of mortal remains of JKLF founder Mohammad Maqbool Bhat.
Malik has submitted a letter to the doctors at the medical facility, saying he did not want to be treated.
The Jammu and Kashmir Liberation Front chief, who was shifted to Tihar jail under police protection, was taken into preventive custody in February by the Jammu and Kashmir police and shifted to Jammu's Kot Balwal jail.
A special court in Jammu on Tuesday issued a bailable warrant against Rubaiya Sayeed, the daughter of former Jammu and Kashmir chief minister Mufti Mohammad Sayeed, after she did not appear for cross-examination in a case related to her abduction by the JKLF in 1989.
Among the national parties, the Congress, Aam Aadmi Party, the Bahujan Samaj Party and the Communist Party of India-Marxist opposed the proposal, while the Bharatiya Janata Party and the National People's Party supported it.
'There is a trust deficit between Delhi and Srinagar. It is there even today.'
He said that even the security of the Supreme Court would have been put to a serious risk if any untoward incident were to happen.
The depiction of hijackers of the Indian Airlines flight from Kathmandu to Delhi has kicked off a row with a section of viewers objecting to the 'humane' projection of the perpetrators.
The National Investigation Agency has charge sheeted Dilawar Iqbal -- a right-hand man of Jaish-e-Mohammed (JeM) chief Maulana Masood Azhar Alvi -- and Kupwara-resident Mohammed Ubaid Malik for allegedly conspiring to disturb the peace and communal harmony of Jammu and Kashmir by attacking security forces, officials said on Wednesday.
'The so-called separatists are representatives of Pakistan. They get paid from Islamabad for propagating that country's policy and conniving in her ploy of accession of Kashmir to Pakistan.'
Liberal Democrat Member of the European Parliament Chris Davies said the decision showed the Indian government was trying to hide the "reality of its actions" and blocking absolute freedom of the press.
Protests rocked parts of Kashmir Valley including Srinagar on Saturday where Pakistan and Islamic State flags were yet again displayed by masked youths after Eid prayers.
The Bharatiya Janata Party-led National Democratic Alliance is expected to achieve a clear majority in Rajya Sabha after bye-elections for 12 seats scheduled next month, which would help the party get the nod for key legislations such as the Waqf (Amendment) Bill.
Restrictions were imposed in north Kashmir and some areas of central Kashmir to thwart the march announced by separatists to Jamia Masjid.
Authorities clamped strict restrictions in Srinagar and north Kashmir's Sopore town to foil a separatist march on Friday.
"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.
Malik began an indefinite hunger strike on July 22 after the Centre did not respond to his plea that he be allowed to physically appear in a Jammu court hearing the Rubaiya Sayeed abduction case in which he is an accused.
Curfew-like-restrictions were imposed in the old city of Srinagar and some uptown areas to foil protests and a sit-in at the historic Jamia mosque after the Friday prayers.
India's tactical and operational response demonstrated its ability to prosecute tri-service operations, even without a formal tri-service doctrine or the higher command structure needed to coordinate it, points out Ajai Shukla.
Congress MP Shashi Tharoor said Afzal Guru's hanging was both "wrong and badly handled".
Harsh Vardhan Shringla said New Delhi's move to abrogate Jammu and Kashmir's special status last month and bifurcate it into Union territories was done for the 'benefit' of the people.
Groups of youth took to the streets at Press Colony and Khanyar in support of Naik.
The detentions come ahead of a crucial hearing on Article 35-A in Supreme Court which is likely to take place on Monday. The article, incorporated into the Indian Constitution in 1954, grants special rights and privileges to the citizens of Jammu and Kashmir.
Separatists dismiss breakthrough in dialogue between the neighbours in Russia, says talks shouldn't be for time pass
'How you live serves as a much better track record than your timeline,' says Mitali Saran.
But why is everyone getting so het up over what, after all, is a mere film? If you don't like it, don't watch it. Why create a public spectacle over it? asks Virendra Kapoor.
Curfew remained in force on Thursday in parts of Kashmir valley as a preventive measure to maintain law and order after a youth was killed when security forces allegedly opened fire to chase away stone-pelting protesters.
The former IAS officer said the main reason for not contesting the polls was to focus more on the mass contact programme.
The encounter broke out after three motorcycle-borne terrorists opened fire on CRPF personnel posted at a mobile checking unit in Shalteng in Parampora, officials said. The captured terrorist is Umar Fayyaz of the Islamic State Jammu and Kashmir (ISJK), he said.