Washington's top diplomat said Saturday he was "optimistic" a way could be found to protect Syrian Kurds while allowing Turks to "defend their country from terrorists" despite a US pullout from Syria.
Pompeo's remarks follow tensions between the US and Turkey over the fate of Washington's Syrian Kurdish allies in the fight against Islamic State jihadists.
US-led operations against IS in Syria have been spearheaded on the ground by the Kurdish-dominated Syrian Democratic Forces.
Turkey sees the backbone of that alliance, the Kurdish People's Protection Units (YPG), as a terrorist group linked to the Kurdistan Worker's Party (PKK) which has fought a decades-long insurgency against the Turkish state.
"Many details (are) still to be worked out but I'm optimistic that we can achieve a good outcome," he said.
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