The Taliban have proposed a three-month ceasefire in Afghanistan in return for the release of 7,000 captured fighters, a government official said.
Nader Nadery, an Afghan government negotiator, described the proposal as a "big demand".
The government has so far not said how it will react.
Clashes between the government and the Taliban have intensified since US troops began to withdraw from the country.
The Taliban recently claimed their fighters had retaken 85% of territory in Afghanistan - a figure impossible to independently verify and disputed by the government.
Other estimates say the Taliban controls more than a third of Afghanistan's 400 districts.
Mr Nadery said Taliban leaders had also requested that their names be removed from a United Nations blacklist.
Last year 5,000 Taliban prisoners were released and it is believed that many of them returned to the battlefield, worsening violence in the country, says BBC correspondent Lyse Doucet.
On Thursday, Afghan forces said they had recaptured a border crossing with Pakistan that had been taken by the Taliban. The insurgents deny having lost control of the border post.
Video footage posted to social media earlier this week appeared to show a white Taliban flag being flown above the Spin Boldak crossing near Kandahar.
Afghan forces have been struggling to halt the Taliban's advance through the country, which has sped up since a 2020 deal struck with former US President Donald Trump's administration.
Under the terms of that deal, the US and its Nato allies agreed to withdraw all troops in return for a commitment by the militants not to allow any extremist group to operate in the areas they control.
But the Taliban did not agree to stop fighting Afghan forces. The militants are now in talks with the Afghan government - something they previously refused to do - but show no sign of stopping their attacks, with talks barely progressing.
Many fear Afghan security forces will collapse completely under the onslaught, with former US President George W Bush - who was behind the decision to send US troops to the country in 2001 - warning that the consequences of the US withdrawal were likely to be "unbelievably bad".
KNUST students ordered to leave campus by Saturday
V/R: Three arrested for police recruitment scam
E/R: Both male and female students of Apeguso SHS share same pit latrine
Your hypocrisy over economic statistics annoying – Mahama to economic experts
Rasta student quits Achimota for GIS following AG’s appeal
CID petitioned over WASSCE leakage
Western Region Minister denies asking MMDAs for funds for father’s funeral
Let’s deal decisively with political situation in Guinea – Akufo-Addo urges ECOWAS leaders
Africa faces 470 million COVID-19 vaccine shortfall in 2021 -WHO
Harruna Attah writes: In fairness to Rawlings…