"We will announce the complete victory over Daesh (Islamic State) in a week", Kobani told a group of recently released SDF fighters, who had been held captive in Islamic State's last enclave close to the Iraqi border.
The SDF began an operation on Friday to clear the last remaining pocket of ISIS fighters from the besieged village of Baghouz, and the operation resumed on Saturday.
"Nothing remains in Baghuz except for terrorists", a spokesman for the Kurdish-led SDF alliance said, referring to the IS militants.
Three SDF fighters have been injured so far in the fighting, the SDF said.
"We succeeded in securing a safe passage for civilians, and we managed to free 24 of our forces who had been kidnapped by the terrorist organization months ago", the statement added.
The smallest batch of evacuees, just over 200, came out of the pocket in around six trucks used to transport sheep.
A spokesman for the US-led global coalition which supports the SDF said the Kurdish-led Syrian group had adopted a " slow and deliberate" approach to Baghuz.
Hareth was 11 years old when the Islamic State in Iraq and Syria carved out its "caliphate" in both Iraq and Syria, killing thousands of civilians and attracting an array of enemies that have fought from the air and on the ground to uproot the jihadists.
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The SDF has said several hundred jihadists are believed to be holed up in Baghouz, a cluster of hamlets surrounded by farmland on the eastern bank of the Euphrates River. But SDF officials rejected those accounts. They dragged along few belongings and distraught children.
Around 20 children crossed the frontline on their own this week, including Iraqis, Syrians, Turks and Indonesians, said SDF commander Adnan Afrin.
The SDF, the main Kurdish led-partner of the US-led coalition against IS in Syria, has been trying to evacuate thousands of civilians in Baghouz before storming it, or forcing the surrender of the remaining jihadists, who the SDF has said were mostly foreigners. "The Islamic State is weak only in Baghouz but elsewhere it is expanding and growing".
Mr Bali told The Daily Telegraph that said the operation is expected to last two days, but may take a week to complete as hardened jihadists fight back with heavy weapons and suicide vehicle bombs.
The final assault on Baghuz comes just a day after U.S. President Donald Trump told U.S. soldiers that the final shred of the IS caliphate had already fallen.
The resumption of military operations against ISIL breaks a dayslong standoff while the civilians were being evacuated.
In the last week alone, it said, some 13,000 people have arrived at al-Hol camp.
"Many of the arrivals are exhausted, hungry and sick", according to Jens Laerke, spokesman of the UN Office for the Coordination of Humanitarian Affairs, at a news briefing in Geneva.