The independence vote defied the central government in Baghdad - which had ruled the ballot illegal - as well as neighboring Turkey and Iran which have their own Kurdish minorities.
In a statement issued on Tuesday, the Kurdish regional government says "we respect" the November 6 decision by the Supreme Federal Court, an indication they may be willing to back down in the standoff with Baghdad.
The Iraqi Foreign Ministry stated on Monday that it can not shut down the diplomatic offices and consulates of the foreign countries in the Kurdistan Region because they are not political.
"This is the only way to secure the unity of Iraq".
The federal court is responsible for settling disputes between Iraq's central government and the country's regions and provinces.
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One of the decisions, approved by the Parliament in a session, but boycotted by Kurdish MPs, on September 27, was mandating the government to summon the ambassadors and representatives of countries having offices in the Kurdistan Region to either close their offices or move them to outside the Region's governorates.
On Sept. 25, Iraqis in the KRG - and in a number of disputed areas - voted on whether to secede from Iraq and declare independence. These areas lie outside of the Kurdish region and are claimed by both Erbil and Baghdad.
Important: Clear #KRG statement respecting Iraqi Supreme Court's recent decision interpreting Article 1 of the Iraqi constitution and calling for dialogue to resolve all disputes on the basis of the constitution. It called for talks with the government in Baghdad to resolve tensions over the region's constitutional status.
The statement is seen as the latest efforts by KRG to start a dialogue with Baghdad that can lead to a peaceful breakaway.
Mr Barzani meanwhile accused the U.S. of supporting "Baghdad instead of being a mediator between its two allies".