Abdullah is heading a delegation comprising members of the Afghan reconciliation council as well as Afghan Parliament and Foreign Ministry.
The former chief executive officer of the Afghan unity government is going to meet Iranian President Hassan Rouhani, Parliament Speaker Mohammad Baqer Qalibaf, Foreign Minister Mohammad Javad Zarif and other senior officials during his three-day stay in Tehran.
Abdullah is scheduled to hold talks on the Afghan peace process, the negotiations in Qatar, and the need for regional consensus and support for the Afghanistan peace efforts.
Iran has repeatedly voiced commitment to supporting the peace process in Afghanistan under the guidance and ownership of Afghan people.