He also tweeted that the eight round of talks at the Qatari capital had made "excellent progress".
The United States and the Taliban have resolved differences in peace talks over the withdrawal of American troops from Afghanistan and guarantees from the insurgents that they will cut ties with other extremist groups, a Taliban official said Tuesday.
The government is not involved in the peace talks because the Taliban refuse to deal with them, labeling them a US puppet.
Khalilzad added that talks will continue even in his absence to discuss the technical details.
U.S. peace envoy Zalmay Khalilzad, who has been tasked with finding a peaceful resolution to the almost 18-year war, reported "excellent progress" in the talks.
The Taliban have continued to sideline the Kabul government from the talks, dismissing it as a US puppet and refusing to negotiate with it.
The Taliban have kept up a near-daily rate of deadly attacks, despite holding several rounds of peace talks with Khalilzad since his appointment nearly a year ago.
There has been no let-up in violence in Afghanistan, despite the Taliban and the USA appearing to be close to reaching a historic pact for American troops to withdraw, in exchange for a Taliban pledge the country would not be used as a base from which to plot terrorist attacks.
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Any agreement we conclude will be condition-based.
Many Afghans worry what will happen once the estimated 20,000 US and North Atlantic Treaty Organisation troops in the country return home.
The blast came a day after the Taliban called for a boycott of a September 28 presidential election and threatened to attack election rallies.
The Taliban, fighting to rid the country of foreign forces and create an Islamic state, called for a boycott of the election scheduled for September 28.
President Ashraf Ghani is widely expected to win a second term and has insisted the vote must go ahead as scheduled.
The president's office issued a statement calling on the Taliban to prove they are serious about peace and "stop intimidating the public". On Tuesday, a bomb targeting a van carrying employees of the Interior Ministry's counter-narcotics division killed five people and wounded seven in Kabul.
The United States and its allies launched a military operation in Afghanistan in 2001 after the 9/11 attacks, which were staged by the al-Qaeda terrorist group, backed by then Taliban-led government of Afghanistan.
And in northern Baghlan province, security forces foiled an attack by insurgents, said Jawed Basharat, spokesman for the provincial police chief.He said a suicide bomber in a Humvee tried to attack an Afghan base but was killed.