The Vice-President of Iraqi Kurdish region, Jaafar Aimenky announced the decision in Parliament at Arbil, the capital of Iraqi Kurdish region.
During a phone call on September 15, Yıldırım told al-Abadi that the Kurdish Regional Government (KRG) decision to hold an independence referendum on September 25 is an "entirely wrong step", while adding that Baghdad and Ankara need to work together to prevent the move.
Mr Barzani was adamant that the vote would not be delayed.
Iran, Turkey and the U.S. also object to the vote, fearing further instability.
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Moves toward independence are strongly opposed by Baghdad. But relations with Baghdad have grown strained in recent years over oil and the disputed areas.
It also called on the regional government "to seize this opportunity and to enter into serious negotiations with Baghdad".
Meanwhile, the United States in its reaction said the plan for an independence referendum in Iraq's Kurdistan region will distract from efforts to defeat Islamic State.
Meanwhile, Iranian-backed Iraqi Shi'ite paramilitary groups have threatened to dislodge the Kurdish forces from the Kirkuk region, which is due to take part in the referendum.
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The vote came despite intense lobbying from the United States to postpone the referendum over concerns it could distract from the fight against the so-called "Islamic State" (IS) and fuel conflict between the Kurds and Baghdad. "Holding the referendum in disputed areas is particularly provocative and destabilizing". Mr Barzani says the referendum's "legitimacy comes from the people of Kurdistan, not from the outside".
Shortly after the session, the Kirkuk governor rejected the parliament decision in a statement, describing it as "invalid" and insisting that he'll stay in office.
The Kurdish region won autonomy in 2005 under a constitution that established a federal republic in Iraq.
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