It's thought Gardaí will travel to Jordan to speak to a person of interest in the Jamey Carney murder inquiry.
Jordanian authorities say they can hold the man for 15 days.
He fled Ireland for Jordan before the body of the mother-of-one was found at her home in Killarney last week.
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A statement by the Ministries of Interior and Justice in Jordan confirmed they received a report from Irish authorities concerning the murder of an American woman in Ireland.
It says security authorities immediately launched a search operation and tracked and arrested the man.
After a referral to the Major Criminal Court, he will be detained for 15 days amid an investigation.
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Jamey Carney - a mother of one - was found dead at her home in Killarney last week.
