In a statement announcing the visit, the Taliban's spokesman Zabiullah Mujahid presented the talks as if they were a meeting between two governments, rather than that of a militant group and a neighbour.
"The delegation of Islamic Emirate met with officials of the neighbouring country of Iran and discussed issues related to the current situation of our country Afghanistan, the region, Islamic world and conditions of the Afghan refugees residing in Iran," the statement said.
Iran's foreign ministry was not informed about the Taliban's visit to Tehran, the ministry spokeswoman Marzieh Afkham said.
Iran's Tasnim news agency reported the visit yesterday, adding that it was the third time the Taliban has sent officials to Iran for such talks.
The Afghan government has also been courting neighbouring countries in recent months -- including Iran -- as it hopes to form a regional consensus over peace negotiations with the Taliban.