The threat comes on the heels of a May 22 bombing at a Grande performance in Manchester, England, that killed 22 people and injured dozens more.
The Costa Rica concert went ahead as scheduled Sunday in the city of Alajuela.
Costa Rican prosecutors said in a statement that the suspect is a Colombian citizen who made the threats online.
Head Investigator Walter Espinoza told local media the threats were written in Arabic. He identified the suspect only by his family names, Caicedo Lopez.
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