The attack comes when a Taliban delegation and US representatives are carrying out the seventh round of meetings in Qatar to discuss peace negotiations in Afghanistan.
The attack comes as the Taliban and the United States hold talks in the Middle Eastern state of Qatar, where the militant group maintains a political office.
Two police officials say Wednesday's explosion was followed by a gunbattle between militants and security forces.
The bomb attacks came as Afghan security forces beefed up security across the country ahead of Nawroz Festival celebrations falling on Thursday which marks the Afghan New Year.
Wahidullah Mayar, spokesman for the Public Health Ministry, says several people were also injured in the late Saturday explosion inside a residential house in the Afghan capital.
The victims included religious scholars from all over Afghanistan, invited by the Ulema Council to celebrate the birth anniversary of Prophet Muhammad on November 20.
A manager of Uranus Wedding Palace, which also hosts political and religious functions, told AFP a suicide bomber blew himself up in the middle of the gathering.
It was not immediately clear who was responsible for the attack, which came just days after Afghan President Ashraf Ghani offered the Taliban a three-month ceasefire.
The French and German embassies were damaged by the massive bomb that ripped through Kabul's strongly fortified diplomatic quarter.
A huge plume of smoke could be seen rising from the area but it was not clear what the target was and there was no immediate confirmation of any casualties.