On Twitter, it said the SDF was continuing to evacuate civilians and the "most hardened" fighters remained within Baghouz, the final scrap of ground left to Isil in the Euphrates valley region which became its last major stronghold in Iraq and Syria.
A Syrian Democratic Forces (SDF) fighter uses binoculars to inspect the embattled village of Baghuz, Syria, Feb. 19, 2019.
In Idlib, government forces shelled a bakery killing at least four people, including children, in the town of Khan Sheikhoun in Idlib, a war monitor said.
She called on the warring parties to provide safe passage to those who wished to flee, and to protect as much as possible those who wished to remain.
The standoff between the SDF and ISIS has lasted for five days.
The opposition's Syrian Civil Defense, a group of volunteer first responders, said one of its members was wounded.
The SDF could not be certain if some Islamic State fighters had left Baghouz with the civilians, Bali said, adding security forces were checking the identities of everyone leaving.
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In Syria, it retains a presence in the vast Badia desert, and the terrorists have claimed deadly attacks in SDF-held territory.
However, the US-led Global Coalition to Defeat IS says it can not verify reports about militants surrendering. "We did not know our enemy very well but today we know them intimately".
Evacuations had been halted last week when the militants closed all the roads out of the tiny area. He spoke on condition of anonymity because he was not authorized to speak about the talks, which he described as taking place indirectly.
On Thursday, back-to-back suicide vehicle bombings in a market in Deir el-Zour province killed 14 civilians and an SDF fighter, a commander said.
After years of battling ISIS, the SDF hold hundreds of foreigners suspected of being ISIS fighters, as well as related women and children.
But beyond Baghouz, IS still has thousands of fighters and sleeper cells scattered across several countries. The head of United States army Central Command, Gen Joseph Votel, said he was still carrying out President Donald Trump's withdrawal order.
Any such pullout would leave Syria's Kurds exposed to a long threatened Turkish assault, and the prospect has already forced them to mend ties with Damascus after years of seeking self-rule in the northeast of the country.
Bachelet also expressed concerns over recent violence in the northwestern province of Idlib, the last major rebel stronghold in the country, calling on all parties involved to ensure that the protection of civilians is held paramount in the planning and execution of all military operations in accordance with worldwide law. There are also dozens of women and children inside.