This time at least 60 Afghan delegates are reportedly taking part in the two-day intra-Afghan dialogue starting on Sunday.
The Taliban, who have steadfastly refused to negotiate with the government of President Ashraf Ghani, have stressed that those attending the intra-Afghan talks will only do so in a "personal capacity".
Meanwhile, U.S. Peace Envoy Zalmay Khalilzad hailed the intra-Afghan talks underway in Doha as a good first step toward substantive negotiations between Afghans on a framework for the country's future.
Nearly 50 delegates from Afghanistan and 17 representatives of the Taliban have attended a two-day intra-Afghan dialogue conference in Doha, co-hosted by Germany and Qatar, which kicked off on Sunday. The insurgents have expressed their satisfaction with the advances made in the negotiations, focused on the withdrawal of USA troops and the Taliban's promise that no terror group will attack another country while based on Afghan soil.
"We want to go to the dialogue but they are not letting us", Stanikzai said to an officer, who replied: "We are not joking with you, stop shouting at us".
The Taliban, he said, seemed to be willing to address some critical concerns of most Afghans, such as how to protect the gains made since the ouster of the insurgent group in 2001, particularly in terms of institution building and human rights.
"Gathered around the table today are some of the brightest minds representing a cross-section of Afghan society", said Markus Potzel, Germany's special representative for Afghanistan and Pakistan. "We want a stable Afghanistan", he told reporters on the sidelines of the dialogue on Monday.
Wardak added that Stanekzai spoke about the Taliban's position on "women's role, economic development, (and) the role of minorities".
A vehicle bomb in central Afghanistan has killed at least eight members of the security forces and four civilians and wounded dozens, many of them students attending a nearby school.
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The Taliban and USA officials are trying to strike a deal on a Taliban demand for the withdrawal of US and other foreign forces and a USA demand that the Taliban not let Afghanistan be used as a base for terrorism.
Meanwhile the United States ambassador to Kabul John Bass has said that the firstintra-Afghan talks which are scheduled to take place in three days in Qatar iscritical to leverage the peace process in the country.
Khalilzad said that issue had been discussed with the Taliban but added that he could not comment further.
The Ghazni bombing came less than one week after another deadly Taliban bombing in Kabul, which took place just as the 7th round of U.S. -Taliban talks resumed after a lengthy hiatus.
The Taliban said they were "happy with progress".
The US negotiator said the deal that is being negotiated in Doha with the Taliban is "comprehensive and includes specifics on all four parts including a ceasefire, timeline, participating in intra-Afghan negotiations and counter-terrorism assurances".
"The final destination for Afghans is peace, we have suffered for years, especially innocent people".
"We believe they are very near".