However, the APC failed to make any headway in his proposed formation of working groups as some political parties opposed the move.
The Hurriyat delegation, also comprising Abdul Gani Bhat and Bilal Lone, was slated to return on January 24.
Separatist leaders Syed Ali Shah Geelani, Mirwaiz Umar Farooq (both of separate Hurriyat Conference factions) and Yasin Malik of Jammu Kashmir Liberation Front issued a joint statement here, rubbishing her and her offer.
Ahead of its Pakistan visit from Monday, separatist outfit Hurriyat Conference Sunday said it will discuss the Kashmir issue with President Pervez Musharraf and other Pakistan leaders.
Top Kashmiri separatist leaders on Saturday evening joined the iftar party hosted by Syed Ali Shah Geelani, the hard-line separatist leader at his uptown residence.
Normal life remained paralysed for the 42nd day in the Valley which has been rocked by violence after the killing of Hizbul Mujahideen commander Burhan Wani in an encounter with security forces on July 8.
Normal life remained paralysed for the 37th consecutive day due to curfew, restrictions and separatist sponsored strike.
"We are not going to attend the April 24 roundtable scheduled to discuss Centre-state relations or developmental issues," Hurriyat spokesman Shahid-ul-Islam told PTI.
The Shia organisation had previously sided with the hardline leader, Syed Ali Shah Geelani.
In conversation with All-Party Hurriyat Conference Chairman Mirwaiz Umer Farooq.
After the meeting with the Pak PM, separatist leaders admitted that differences persisted.
Normal life in Kashmir was partially affected due to a strike called by moderate faction of Hurriyat Conference to protest the army's decision to close the Pathribal fake encounter case.
Supporting the India-Pakistan talks and peace process, he said dialogue was imperative but there should be the world community's involvement at a certain level to reach a solution acceptable to all the parties concerned.
Hurriyat in touch with Kashmiri Pandits
"We condemn the brutal use of force by Indian security forces against peaceful and unarmed protesters," it said.
Hurriyat's Mirwaiz said Mufti has exposed his game plan by rushing to New Delhi to sort out the matter.
The meeting comes ahead of Dr Singh's meeting with Musharraf to be held on the sidelines of the UN General Assembly.
This will be the first interaction between Jammu and Kashmir's moderate separatist group and the United Progressive Alliance dispensation as part of the dialogue process.
Former Hurriyat chairman Mirwaiz Umer Farooq, who along with another moderate leader Abdul Gani Bhat, attended the two-hour meeting, said such interactions should increase and similar meetings should be held in Muzaffarabad, Srinagar and Jammu.
Suggestions from certain quarters, including Pakistan and the United States, about having "self-rule" in Jammu and Kashmir would also figure in the talks with Musharraf, he said.
The leaders returned after a fortnight-long visit to Pakistan and Pakistan-occupied-Kashmir.\n
"But you have to be careful because the Indian government will never like a solution where it has to totally compromise on Kashmir," Hurriyat chief Mirwaiz Umar Farooq said.
The Hizbul Mujahideen chief said he could not back their peace moves or any future Kashmir solution unless hardline Hurriyat leader Syed Ali Shah Geelani was taken on board, local media reported.
Sources said the visit was likely to take place in the second week of December as the Mirwaiz was scheduled to attend two Organisation of Islamic Conference meets.
If talks are progressing in the right direction, the violence will come down automatically," the Mirwaiz contended.
Mehbooba was addressing a joint press conference with Omar Abdullah and Hurriyat Conference Chief Mirwaiz Umer Farooq on the sidelines of the Hindustan Times Summit.