Qatar sent a delegation to Kabul at the weekend. Qatari Foreign Minister Sheikh Mohammed bin Abdulrahman Al-Thani is thought to be the first foreign diplomat to visit Afghanistan since the Taliban regained power.
Qatar has longstanding ties with the Taliban. The group has a political office in the capital, Doha.
Sheikh Mohammed held talks on Sunday with the Taliban's acting prime minister, Mullah Hasan Akhund.
The Taliban say the two sides discussed humanitarian aid and economic reconstruction.
Qatar's Foreign Ministry says Sheikh Mohammed urged the interim authority to work with all Afghan parties for national reconciliation.
The Taliban are believed to be aiming to win support from Qatar for their provisional government. But the international community is concerned that the administration consists exclusively of members of the Taliban.