An Egyptian official, meanwhile, noted that the number of expatriates who will be evacuated during the coming hours is over 1,000.
"Some 350 Egyptians have crossed in Tunisia through Libya's western Ras Ajdir border crossing, with more expected to come," an Egyptian official, requesting anonymity, told The Anadolu Agency.
"After they arrive in Tunisia, they will leave to Cairo through the Djerba–Zarzi airport [150km from Ras Ajdir]," the official said.
Four buses carrying 200 Egyptians arrived at the airport and the rest are reportedly on their way from Ras Ajdir, according to an AA correspondent
Two Egyptian aircraft had already left for Tunisia to transport nationals fleeing Libya back to Egypt, the country's Ministry of Civil Aviation said in a Sunday statement.
"We're in constant communication with the Foreign Ministry to find out the number of Egyptians on the Libyan-Tunisian border," the Aviation Ministry had said. "We also coordinates with the Aviation Ministry to send flights with sufficient capacities to bring them back," it added.
Head of Egypt's official statistics agency, Abu Bakr Abdel-Karim, had told AA that there were no accurate figures on the number of Egyptians living in Libya.
Unofficial estimates place the number of Egyptian expats in Libya between 100,000 and 1.5 million.
Numerous Egyptian expatriates have sought to flee Libya since Monday of last week, when Egypt launched a series of airstrikes targeting suspected ISIL sites in Libya's eastern city of Darnah.
The strikes came one day after a video appeared online purportedly showing the execution by masked ISIL militants of 21 Egyptian nationals in Libya.
Fractious Libya has remained a source of concern for neighboring Egypt since it descended into violence and chaos following the ouster and death of strongman Muammar Gaddafi in 2011.