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The UAE has stressed the need for "stability and security" in Afghanistan and said it was closely monitoring developments.
The Ministry of Foreign Affairs and International Co-operation said it hoped all parties in Afghanistan would work towards this goal.
"The UAE confirmed that it is closely following recent developments in brotherly Afghanistan, stressing the need to urgently achieve stability and security in Afghanistan," read a statement published by state news agency Wam on Tuesday.
"The Ministry of Foreign Affairs and International Co-operation expressed its hope that Afghan parties will exert all efforts to establish security and achieve stability and development in Afghanistan in a manner that fulfils the hopes and aspirations of its brotherly people."
The UAE's aviation authorities halted all flights to the country on Monday.
The decision followed the takeover of Kabul's Hamid Karzai International Airport, as chaos reigned in the capital, with planes unable to land or take off.
The UAE's General Civil Aviation Authority said the flight ban followed the "latest developments in Afghanistan, and assessing the current situation in co-ordination with the concerned authorities and national carriers in the UAE, in order to ensure the safe operation of airlines in the country".
"The General Authority of Civil Aviation also confirmed that it places the security and safety of civil aviation at the top of its list of priorities," it said.