WASHINGTON (CNN) -- Warning that Kurdish-inspired violence at Greek diplomatic missions could extend to U.S. interests, the State Department issued a global travel warning Wednesday urging Americans abroad to take special security precautions.

"Greek diplomatic missions and personnel have been subjected to violence, and it is possible that this danger may extend to American interests as well," the State Department said in its worldwide travel caution.

The statement said Americans traveling or living abroad should "review their personal security" in light of the Kurdish demonstrations and contact the nearest U.S. embassy or consulate for up-to-date information on security conditions.

It also said that U.S. government personnel and facilities were taking the appropriate security measures following the Kurdish violence in Europe.

The protests, many of which were centered on Greek diplomatic missions across Europe and spread Wednesday to the Israeli consulate in Berlin, were triggered by the arrest in Kenya of Abdullah Ocalan, leader of Turkish Kurd separatists and a reputed terrorist.

Greek authorities reportedly handed Ocalan over to Kenyan police after he sought refuge at the Greek Embassy in Nairobi. He was then returned to Turkish authorities.

The United States has denied any "direct involvement" in the handover of Ocalan to Turkey but acknowledged engaging in "extensive diplomatic efforts" to bring him to justice.

Reuters contributed to this report.