Talks resume as Afghan government contemplates military solution to standoff.
Neither Afghan nor South Korean officials have confirmed that any hostages are to be released.
Two male hostages have been shot dead since then and their captors had threatened to murder more if demands for the release of Taliban prisoners were not met.
The meeting between the Taliban leaders and four Korean officials, which began on Friday, was the first direct meeting since the Koreans were kidnapped.
“There will be more negotiations between the South Koreans and the Taliban … but the Taliban have made it clear for any more hostages to be released it will only be as part of a prisoner-hostage exchange,” he said.