The meeting comes ahead of Dr Singh's meeting with Musharraf to be held on the sidelines of the UN General Assembly.
"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.
"We wanted to meet the Indian and Pakistani leaders," he said, adding, "The Pakistan High Commission has invited us to meet Musharraf but there has been no positive response from Prime Minister Dr Manmohan Singh's office as yet."
He said no reduction of forces within the state, could become 'an impediment in the peace process.'
In conversation with All-Party Hurriyat Conference Chairman Mirwaiz Umer Farooq.
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
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.
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.
Pakistan President Pervez Musharraf has assured the Hurriyat moderate faction that Islamabad was open to 'any solution' acceptable to the people of J&K on the Kashmir issue, its chairman Mirwaiz Umer Farooq said.
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
'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.
"What is the point of holding discussion with the government to government level by New Delhi?" askeed the Mirwaiz.
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 National Conference president also extended an invitation to the Mirwaiz and Mehbooba for a separate meeting.
The separatist outfit wants to understand the Northern Ireland peace process and determine if it can be applied to the Kashmir problem.
The pro-Pakistan Peoples League criticised Mirwaiz Umer Farooq for holding talks with the Centre.
Differences had cropped up within the hard-line faction after Geelani rejected the invitation to visit Pakistan-occupied Kashmir on June 2 and further hardened his stand.\n
'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.