The Kurdistan government has insisted it is capable of fighting its own battle and has not requested combat support from the UK, Downing Street said.
In a statement following a meeting of the government's national emergency Cobra committee, a No 10 spokesman said: "We remain open to supplying equipment directly and work is under way to identify what we could usefully provide.
"The UK is working hard with allies to make the most of our diplomatic, political, aid and military expertise.
"However as the Prime Minister made clear this morning, this is not about getting dragged into a war in Iraq. We will not be putting combat forces on the ground.
"Further, the Kurdistan Regional Government has not requested our assistance with putting combat forces on the ground.
"They say they are capable of fighting this battle, what they need is equipment which is why we will look at providing weapons to the Kurdish troops."
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