The UAE's Minister of State for Foreign Affairs Anwar Gargash wrote on Twitter that the ban was temporary and due to security reasons.
Speaking to Mosaique FM, a local Tunisian radio station, one of the women described her experience at the Tunis-Carthage International Airport on Friday.
Tunisian political parties, on Saturday, condemned the UAE's decision to ban Tunisian women from traveling to or from its territory and onboard its planes.
"We consider this unjustified and surprising decision an infringement on Tunisia's reputation and for explicitly on Tunisian women", Daimi said.
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"We have met with our brothers in Tunisia about security information that has imposed specific and circumstantial measures", he said.
"We should avoid misleading attempts".
The move on Sunday came two days after Tunisian women were denied boarding their flights to Dubai on the United Arab Emirates-based carrier.
Meanwhile, according to Al Ain news, Tunisian presidency spokesperson Saeeda Qureshi said, "The measures that the UAE took regarding travel of Tunisian women, are considered part of their sovereignty procedures, and not a sign of a trust crisis between the two countries".
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API stands for "advance passenger information", a system that requires airlines to provide travellers' passport details to the country of destination before departure.
Since Friday, Tunisian women and girls have been delayed for hours as they look to board flights to the UAE, sparking outcry in the North African nation.
The UAE said "security information" had caused the delays.
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