The Observatory said Isis fighters had captured the hill, closing in on the town from the west. It said Isis forces were also trying to advance from the eastern side of the town, and that there were casualties on both sides.
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The hill was captured by the Kurds from Isis earlier this month.
Idris Nassan, deputy minister for foreign affairs in a Kurdish civil administration controlling Kobani, said that although Isis fighters had moved on to Tel Shair hill, the heavy fighting there was ongoing.
“Kobani has been witnessing fierce clashes since last night. It was one of the bad nights,” he said.