The officials said four Turkish soldiers were injured in the attack which was part of a broader offensive by the insurgents on Kurdish positions around ISIS stronghold of Mosul.
Kurdish official Hemin Hawrami said on Twitter that Kurdish forces had repelled multiple attacks on Wednesday by the militants, who deployed nine car bombs and eight suicide attacks. Seven Kurdish forces were killed, he said.
"A Kurdish general, who was near the base in the Bashiqa area, said six or seven rockets had landed inside the compound which is also used by an Iraqi militia Turkey says it is training to fight ISIS."
The deployment of around 150 Turkish troops to the base earlier this month has strained relations between Ankara and Baghdad, which complained to the UN Security Council.
Baghdad says the Turkish military presence is a violation of its sovereignty.
Turkey withdrew some troops earlier this week and moved them to another base inside Iraq's Kurdistan region, but Baghdad said they should pull out completely. Reuters reported.
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