De facto prime minister Abdullah -- Ghani's partner in the fragile unity government -- is among at least 14 other candidates who have joined the race.
Parliamentary elections were fraught with delays after the few staff trained on the biometric system did not show up at the polling booths and countless registered voters could not find their names on
Taliban during the talks allegedly pressed for a postponement of next year's presidential elections and the establishment of an interim government under a neutral leadership.
They also took note of the situation in Kandahar, where the ballot was postponed due to security incidents until this coming weekend, saying it was important that the vote goes ahead.
The Taliban and an Islamic State affiliate are both active in Nangarhar.
Campaigning for public office is challenging in a country where daily life is stalked by the threat of suicide attacks and fierce fighting between militants and government security forces.
Nearly nine million people have registered to vote, but far fewer are expected to turn out on polling day due to threats of violence and expectations for massive fraud.
At least nine election candidates have been killed in the lead-up to Afghanistan's long-delayed parliamentary elections on October 20.
The suicide bomber was on foot and had a suicide vest under his clothes when he entered Achakzai's campaign office, the spokesperson said.
The two leaders discussed the upcoming parliamentary elections in Afghanistan, prospects for peace negotiations and regional dynamics.
A suicide bombing outside a voter and ID registration centre in Kabul killed at least 57 people, and injured 112 people.