The Taliban have asked to address world leaders at the UN General Assembly this week in New York City.
The group's foreign minister made the request in a letter on Monday.
The UN Committee will rule on the request.
The Taliban have also appointed their Doha spokesman, Suhail Shaheen, as the UN ambassador to Afghanistan.
The group, which took control of Afghanistan last month, said a member of the ousted government no longer represented the country.
The request to participate in the high-level debate is being considered by the identity committee, whose nine members include the United States, China, and Russia, according to a UN spokesman.
But they are likely to meet before the end of the General Assembly next Monday.
Until then, under UN rules, Ghulam Isaczai will remain Afghanistan's ambassador to the international body.
He is expected to give a speech on the last day of the conference on 27 September.
However, the Taliban said his message "no longer represents Afghanistan".
Also, they said that several countries no longer recognize former President Ashraf Ghani as a leader.
Mr. Ghani abruptly left Afghanistan as Taliban militants continued their march into the capital, Kabul, on August 15.
Since then he has fled to the United Arab Emirates.
When the Taliban took control of Afghanistan for the last time, between 1996 and 2001, the ambassador of the overthrown government remained as a UN representative, after the identity committee postponed its decision on allegations of pressure to secure the position.
At a UN summit on Tuesday, Qatar called on world leaders to continue cooperating with the Taliban.
"The boycott will only lead to more discrimination and repercussions, while talks can bear fruit," said Qatari ruler Sheikh Tamim bin Hamad Al Thani.
Qatar has been a key link in Afghanistan.
It organized talks between the Taliban and the United States that ended with a 2020 agreement to eliminate US-led Nato forces.
