The independence of Kurdistan is opposed not only by the Iraqi central government, but also by most of other countries as it would threaten the territorial integrity of Iraq and undermine the fight against the militant group Islamic State (IS).
Al-Abadi appeared to have rebuffed Tillerson's call to disband Iran-backed militias during their meeting in Baghdad on Monday.
U.S. Secretary of State Rex Tillerson smiles alongside Qatar's Foreign Minister Sheikh Mohammed bin Abdulrahman Al Thani during a media availability after their meeting, in Doha, Qatar October 22, 2017.
The paramilitaries could not go home because "they are at home" already, he was quoted as saying by the state news agency IRNA.
Zeevi, he said, went on a secret mission Iraq's autonomous Kurdish region in the 1960s and supervised the setting up of an Israeli army field hospital there.
The 60,000-strong Hashed was formed in 2014 after IS seized swathes of northern Iraq , routing government forces.
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U.S. Secretary of State Rex Tillerson, speaking Tuesday while on a trip to Iraq, said he is "concerned and a bit saddened by the recent differences" experienced between the Iraqi government and the minority Kurds.
Amnesty International reported Tuesday at least 11 civilians were killed during fierce clashes between Iraqi government forces and Kurdish militias in Iraq's multi-ethnic city of Tuz Khurmatu on October 16, as Iraqi forces retook the Kurdish-held land.
Tillerson was also due to meet Iraqi President Fuad Masum, a Kurd, in an apparent reaffirmation of US support for unified Iraq after the Kurdish independence referendum held last month in northern Iraq.
He said the issue should be addressed "with consideration of the need to avoid creating another source of instability in the region".
The elections were originally set for just over a month after a September 25 referendum in the Kurdish areas which resulted in a massive "yes" for independence.
Central government forces last week swept into the oil-rich Kirkuk province, restoring it and Kurdish-held parts of Nineveh and Diyala provinces to Baghdad's control.