The Kurdish YPG's attempt to take the last of ISIS-held towns and villages in eastern Syria has focused heavily on getting civilians out of those areas, as not to worry about casualties.
"They said only the Syrians and Iraqis can be smuggled out", said one of the women, who gave her first name as Christelle, from the city of Bordeaux.
At least 70 civilians were killed or wounded as a result of air strikes launched by a US-led global coalition on the Syrian village of Baghuz in the south-east of the country, Syria state television reported, citing local sources.
The SDF say they detained more than 900 foreign fighters during their USA -backed campaign against IS in northeastern Syria.
USA airstrikes have been killing growing numbers of civilians in and around these "last" ISIS-held towns, and while the heavy USA air support has been key to keeping ISIS on the defensive, the civilian casualties are likely to breed resentment among those left in the area.
Intisar Abdel-Hafez, 30, an Iraqi woman who fled with her children, said her husband was a teacher who had stayed in Baghouz with his elderly mother.
"The presence of civilians remain the main challenge that face our forces - we have to isolate civilians from the clash points", explained Mustafa Bali, head of the Syrian Democratic Forces media office.
About half of them were Ukrainian or Russian women and their children, while most of the others were Syrian.
Syria's Kurds hold hundreds of suspected foreign IS fighters and have long urged their home countries to repatriate them, but these have been reluctant.
The Iraqi government will repatriate members of the so-called Islamic State and their families who Kurdish-led forces are holding in Syria, Iraq's prime minister said on Tuesday.
Abdul-Mahdi's announcement came a week after the USA called on other nations to repatriate and prosecute their citizens who travelled to Syria to fight with IS and who are now being held by Washington's local partners.
A victory in Baghouz would allow the United States to withdraw all its 2,000 troops from Syria, as announced by Trump in December. However, the official said this is making the fighting more hard as the terrorists are working to hold onto their last stronghold. The official, speaking on condition of anonymity, said the USA has identified about 50 people among the more than 900 held by Syrian forces as "high value" suspects that could be transported to Guantanamo if they are not repatriated.
Last month, France's Interior Minister Christophe Castaner told French media that a handful of French jihadis had already returned home and more would follow soon after the departure of American troops.
'We think coalition members need to take responsibility for their citizens who are fighters.
"Most are foreigners, Iraqis, Europeans".
Since the latest push began on Baghouz and nearby area, 19 SDF fighters and 27 IS gunmen, including eight suicide attackers, have been killed, according to the Observatory.
More than 20,000 people have left the IS-held area and majority have been moved to al-Hol camp settlement in Syria's northeastern province of Hassakeh, where human conditions are miserable and more than two dozen children have died in recent weeks.