The Taliban is due to release 19 South Korean hostages it has been holding for more than a month in
The announcement on Tuesday followed the resumption of negotiations which had been on hold for two weeks.
The South Korean statement read: "The Taliban agreed to free the 19 South Korean hostages on the condition that
But, Alan Fisher, Al Jazeera's correspondent in
A release could be within hours or days, he said.
The Korean side said it was initially unable to meet the kidnappers' chief demand to release Taliban prisoners held by the Afghan government in exchange for the hostages, most of them women.
Melissa Chan, Al Jazeera's correspondent monitoring the relatives of the South Korean hostages, said that the removal of the Afghan government from negotiations with the Taliban was key to the release of the hostages.
"It has been absolutely crucial for this breakthrough to happen, that the South Koreans speak directly with the Taliban.
"It took a few weeks for this to happen. This is really key for the South Korean government, they have managed to free the hostages on their own."
Fisher said: "Also around the negotiating table, as well as the Taliban and the South Koreans, were two Indonesians acting as brokers, who could have been crucial in the release of the hostages."
The meeting marked the fourth time the two sides have met over the fate of the volunteers who were abducted as they traveled by bus from
Scheduled withdrawal
Two male hostages were killed in late July and two women were released earlier this month.
Another 14 women and five men are still being held.
The Taliban has threatened to kill more hostages unless Afghan authorities agree to release jailed fighters in exchange.
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Relatives of the hostages in