The trio was arrested in the cities of Valledupar and Barranquilla, according to Caracol Radio. They carried large-calibre weapons, a machine gun, a grenade and a scope.
Venezuelan Foreign Minister Jorge Arreaza responded on Twitter, saying that Venezuela had been trying to contact the Colombian top diplomat to offer police and intelligence help in probing the allegations.
"We will request from the Colombian authorities the information… regarding the three captured Venezuelan nationals with an intent to conduct a rigorous investigation," he tweeted.
2/3 Le solicitaremos a las autoridades colombianas la información que ha hecho pública el Canciller @CarlosHolmesTru referida a 3 ciudadanos venezolanos capturados, con la plena disposición de adelantar una rigurosa investigación.
— Jorge Arreaza M (@jaarreaza) December 30, 2018
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Arreaza added that the Venezuelan government hoped to investigate together with Colombia the failed drone attack on President Maduro during his speech in Caracas on August 4.