Deputy Ambassador of Iran in Baghdad Mohammad-Hossein Soltanifar confirmed the news and added that the embassy had hoisted Iran's flag in position of half-mast on Monday.
The Iraqi delegation included Foreign Minister Ibrahim Ja'fari, Minister of culture Faryad Rawanduzi, Minister of Power Qasim al-Fahdawi, Sport Minister Abdul Hussein Abtan as well as advisors to the prime minister Tarek Najm and Sheikh Abdul Hamid Zahiri and Head of the prime minister office Ayad Waeli.
Ammar al-Hakim will reportedly accompany a group of Iraqi political figures, who are going to attend the funeral procession in Tehran.
A memorial service is to be held on Tuesday and Wednesday in the venue of Iran's embassy in Baghdad and a memorial book will be open there.
Iraqi President Fuad Masum, Vice-President Nouri al-Maliki and Head of National Coalition of Iraq Ammar Hakim on Sunday evening offered their condolences separately on demise of late Akbar Hashemi Rafsanjani.