According to the Russian embassy in Kabul, an Afghan diaspora group in Moscow is organising the huddle on Tuesday and Wednesday.
Meanwhile, the Taliban said that a 10-member delegation from their political office in Doha, led by Mohammad Abbas Stanikzai, would take part in the meeting.
The conference agenda include an understanding of the Afghan crisis, enunciation of positions and agreement with different Afghan groups, excluding the Kabul administration.
Earlier, a source said several Afghan politicians and peace activists had been invited to the talks in Moscow to find a political settlement to the conflict in Afghanistan.
But the unity government in Kabul said it preferred direct talks with the insurgents.
A joint delegation of representatives of political parties led by ex-president Hamid Karzai will attend the two-day talks.
List of participants
Ismael Khan, Bad Shah Khan Zadran, Sheer Mohammad Akhundzada, Hawa Alam Nuristani, Mudar Ali Karimi, Haji Din Mohammad, Shahzada Massound, Qalamddin, Dr. Mushahid, Zalmai Hewadmal, Hakim Mujahid, Dawood Ali Najafi, Abdul Karim Khurram, Maulvi Abdul Salam Zaeef, Eng. Yousaf Pashtun, Abdul Jabbar Taqwa, Zarar Ahmad Usmani, Rangin Dadfar Spanta and Dr. Zalmai Rassoul.
Qazi Gul Rahman, Wahidullah Shahrani, Syed Ta, Hazrat Omar Zakhilwal, Syed Fazlullah Wahid, Maulvi Abdul Salam Abid, Qutbuddin Hilal, Arshad Ahmadi, Mahboob Rahman Dawoodzai, Ahmadullah Alizai, Mohammad Muzamil, Aziz Hilal, Raihana Azad, Fozia Kofi, Wakeel Ahmad Mutawakil, Shoaib Wakeel Ahmad, Syed Rahman Haqqani, Nazar Mohammad Dadmand and Wahid Muzhda will also be in attendance.
Presidential candidate Mohammad Hanif Atmar said he was joining the delegation for participation in the Moscow meeting.
Ghani Haqmal, deputy spokesman for Hezb-i-Islami Afghanistan (HIA), said a team of the party would take part in the talks in the Russian capital.
But another source, speaking anonymity, told Pajhwok Gulbadin Hekmatyar’s son Habibur Rahman and Dr. Ghairat Bahir would represent HIA.
A delegation led by Pir Hamid Gilani from the Mahaz party and son of Sibghatullah Mujadidi, Dr. Najibullah, will also join the Moscow meeting.
Atta Mohammad Noor, executive head of the Jamiat-i-Islami party, wrote on his Facebook account he would take part in the Moscow meeting. Former deputy executive officer Mohammad Mohaqiq also confirmed he had been invited.