Mirwaiz extended an open invitation to all pro-freedom groups to join the Hurriyat Conference to strengthen it.
The meeting comes ahead of Dr Singh's meeting with Musharraf to be held on the sidelines of the UN General Assembly.
He said India was "scared" of taking any bold initiative while Pakistan had shown "great flexibility" vis-a-vis the resolution of the vexed Kashmir issue.
Terming the ongoing polls in the state as a "drama", moderate faction of Hurriyat Conference headed by Mirwaiz Umer Farooq on Monday appealed to the international community to send delegations to Jammu and Kashmir on a fact-finding mission.
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.
In significant remarks, Hurriyat leader Mirwaiz Umer Farooq has called for an end to armed struggle to resolve the Kashmir issue as it has only created "more graveyards", and said the dialogue process should be given a chance.
Indirectly blaming the militant groups for the attack, Khan said it seems to be the work of the forces opposed to the ongoing peace process between India and Pakistan.
The meeting is seen as a rebuff to Jamaat leader and chairman of the breakaway Hurriyat Conference faction Syed Ali Shah Geelani, who has been asking Pakistan to stay away from the Hurriyat's moderate leadership.
However, he said the Centre needed to fulfil its previous commitments.
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.
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.
Mirwaiz to lead Hurriyat delegation to PoK
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.
The separatist outfit wants to understand the Northern Ireland peace process and determine if it can be applied to the Kashmir problem.
India and Pakistan have no right to impose leaders or solutions on Kashmiris who have sacrificed their lives and honour for a sacred cause, he said.
Kashmir issue: Hurriyat chief Mirwaiz meets Musharraf in New York
'America and Britain want a greater role in sorting out the Kashmir problem which they liken to the Palestine problem,' says Mirwaiz Umer Farooq, former chairman of the All-Parties Hurriyat Conference.
'The only way to proceed forward is India-Pakistan, India-Kashmir and Pakistan-Kashmir,' says Hurriyat leader Mirwaiz Umer Farooq.
The moderate faction of Hurriyat Conference on Wednesday asked people to cancel the reception arranged for its seven-member delegation returning from Pakistan on Thursday.
"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.
A notice, served at his Delhi residence, said his passport was being suspended under section 10 (A) of the Passport Act as government was satisfied that his travel abroad was not in the interest of the nation.
In conversation with All-Party Hurriyat Conference Chairman Mirwaiz Umer Farooq.
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."
The pro-Pakistan Peoples League criticised Mirwaiz Umer Farooq for holding talks with the Centre.