With pressure growing for international action to halt the advance of the Islamic State (IS) jihadist group, France threw its weight behind calls for a buffer zone on the Syrian-Turkish frontier.
The US and Britain said they were willing to "examine" the idea of a safe haven.
The Pentagon said air strikes alone were not enough to prevent Kobane from falling.
Ultimately, "capable" ground forces -- rebels in Syria and Iraqi government troops -- would have to defeat the IS group, spokesman Rear Admiral John Kirby said.
Demonstrations in Turkey over Ankara's lack of action in support of Kobane's predominantly Kurdish residents triggered clashes in which at least 18 people were killed.
For the first time in more than two decades, a curfew was declared in six Turkish provinces after the unrest.
In Germany, police used batons, pepper spray and water cannon as Kurds and Yazidis clashed with radical Muslims in two northern cities in violence that injured at least 23 people.
"There are 1,000 civilians who refuse to leave," said Kobane activist Mustafa Ebdi.
"One of them, aged 65, said to me: "Where would we go? Dying here is better than dying on the road'."
US and coalition aircraft targeted IS jihadists near the town, launching six attacks to help Kurdish fighters on today, the US military said.
The strikes destroyed an armoured personnel carrier, artillery and several vehicles, Central Command said.
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