The Iraqi minister will discuss in Tehran several issues of common interest including oil and gas fields that border both countries and cooperation on gas, energy, investment, infrastructure and training.
The ministers also discussed latest developments in the global oil market with an emphasis on boosting cooperation in the Organization of Petroleum Exporting Countries (OPEC).
Separately, Zanganeh said Iran would begin exporting gas to the Iraqi city of Basra in coming months.
Iran and Iraq share 23 hydrocarbon fields.
The two sides exchanged views on bilateral ties, especially transfer of oil from Iraq's Kirkuk to Iranian refineries, Shana reported.
Deputy Minister of Justice Hussain al-Zuhairi, who is in charge of prisoners swap between Iraq and Iran, told Islamic Republic News Agency (IRNA) that the extradition will be done in accordance with an agreement signed between Iran and Iraq. Iran would later return the byproducts obtained to Iraq. The exports are expected to reach as high as 35 mcm/d in the near future.