Thamer al-Sabhan is the first Baghdad-based Saudi ambassador in a quarter century, after relations were cut following ex-president Saddam Hussein's invasion of Kuwait.
Jaafari's office said he met with Sabhan and discussed Iraqi-Saudi relations and Baghdad's efforts to ease tensions between Riyadh and Tehran that exploded following the kingdom's execution of Nimr al-Nimr.
Iran sacks senior security official over Saudi embassy attack
Nimr's execution sparked outrage across the Shia world. Protesters torched Riyadh's embassy and consulate in Iran, leading the kingdom and other Gulf states to cut diplomatic ties with Tehran.
Thousands of people, including fighters from powerful Shia paramilitary forces, have protested in Iraq against Saudi Arabia, and called for Sabhan to be expelled from the Shiite-majority country.
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