Iraq, a neighbour to both countries, has hosted five rounds of talks over the past year aimed at restoring ties between Sunni Muslim Saudi Arabia, and Shi'ite-majority Iran.
Following the latest round in Baghdad, Iraqi officials have sounded increasingly optimistic, talking of an imminent sixth session and even going so far as to raise the prospect of a resumption of diplomatic relations severed in 2016.
Iran and the Saudi kingdom support rival sides in several conflict zones across the region, including in Yemen where the Huthi rebels are backed by Tehran, and Riyadh leads a military coalition supporting the government.
In 2016, Iranian protesters attacked Saudi diplomatic missions in Iran after the kingdom executed Shiite cleric Nimr al-Nimr.
Riyadh responded by cutting ties with Tehran.
"Our brothers in Saudi Arabia and the Islamic Republic of Iran approach the dialogue with a big responsibility as demanded by the current regional situation," Kadhemi said in his interview with the state-owned Al-Sabah newspaper.
