Meanwhile, the United Nations said it had restarted humanitarian flights to parts of the country, linking the Pakistani capital Islamabad with Mazar-e-Sharif in northern Afghanistan and Kandahar in the south.
US President Joe Biden rated worse than the other three presidents who presided over Washington's longest war as per a Reuters/Ipsos poll.
Flights from Kandahar airport were cancelled when rockets hit the runway, an official said, as the Taliban pressed on with their sweeping offensive across the country.
Members of the US-backed alliance have agreed this month to wrap up their 9,600-strong mission in Afghanistan after President Joe Biden made the call to end Washington's longest war.
President Ashraf Ghani offers a share in power to Taliban, provided the militant group "gives up the war" as Afghanistan celebrates Victory Day to mark Mujahideen's overthrowing of Soviet-backed Kabul regime in 1992.
The attack on Bagram airfield was carried out from a vehicle parked in an adjoining village.
Over 18 years after the war began, the accord sets the stage for US troop pullout from Afghanistan. If the deal is successful, the "graveyard of empires" will have once again successfully turned away another world power from its landlocked borders.
“If the Taliban and the government of Afghanistan live up to these commitments, we will have a powerful path forward to end the war in Afghanistan and bring our troops home,” President Trump said in a statement.
Islamabad plays a crucial role in advancing mediation efforts between the Taliban and Washington, positioning itself as a powerful bargaining force in the future of Afghanistan.
The United States plans to sign an agreement with the Taliban on Saturday in Qatar if the week-long truce holds. Four days in, the number of Taliban attacks has fallen dramatically.
Isolated attacks take place, reports say, on first day of "violence reduction period" which if observed successfully will lead to US-Taliban deal and a subsequent pullout of US troops after nearly two decades in country.
The apparent insider attack, which took place in Nangarhar province, occurred after a combined US and Afghan force was returning from a "key-leader engagement," Colonel Sonny Leggett, a spokesman for US forces in Afghanistan, said in a statement.
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