Seoul's Yonhap news agency cited Cheon Ho-seon, a spokesman for the South Korean presidential office, as saying: "We cannot yet predict any positive outcomes" from the meeting, but that the face-to-face talks marked a "critical point" in negotiations.
However, international media including Japan's Kyodo news agency and U.S. TV channel CBS cited un-named Taliban and Afghan government officials as saying the Islamist group could release three or four female hostages after the meeting.
The Taliban kidnapped 23 South Korean Christian volunteers on July 19, hi-jacking their bus which was en route from Kabul to Kandahar on a humanitarian mission.
Negotiations are being held in offices of the International Committee of the Red Cross (ICRC). The ICRC participated in the three previous rounds of negotiations.
Taliban militants have executed two of the male hostages and threatened to kill others if South Korea does not pull its military contingent out of Afghanistan and if the Afghan government does not release its imprisoned fighters in exchange for Korean hostages.
After the last round of negotiations with South Korea on August 12, the Taliban released two female hostages.
