Elizabeth Tsurkov disappeared in March 2023, with Kataib Hezbollah, an organization closely associated with Iran, being blamed for the kidnapping.
The Iraqi Foreign Minister said that his country's Prime Minister was "making great efforts to release," Israeli-Russian hostage Tsurkov.
She has been held by the Shiite militia Kataib Hezbollah since March 2023.
The push comes with a backdrop of seismic shifts in the Middle East that have seen Iran's armed allies in Gaza and Lebanon heavily degraded and Syria's government overthrown by rebels.
The point of the report is that the Iraqis want to show that the militias who played a role in Syria will now not just be in Iraq, but will be moved away from the border.
Now that the Assad regime has collapsed, the Iraqi militias face a dilemma.
Moving Iraqi militias into Syria would be Iran’s way of both preventing spillover and adding fuel to the fire.
Other groups, such as Kataib Hezbollah in Iraq, are closely aligned with the Islamic Revolutionary Guard Corps and have carried out attacks on US troops in Iraq and Jordan.
These speculations come after Iranian Supreme Leader Ali Khamenei promised a "crushing response" to Israel's October 26 attack.
The Iranian-backed drone programs that proliferated in the Middle East in recent years have become increasingly deadly.