Casey Morgan went missing in March, just two months after he was released on license for carrying a knife, attempted robbery and threats to kill.
The 18-year-old pleaded guilty to those charges in December 2010. After breaking the terms of his release, the PSNI believed Morgan was in the Republic and issued an extradition warrant to force his return to Northern Ireland.
Morgan, who is originally from Downpatrick, was detained in the Irish capital on Monday and appeared before the extradition court on the same day.
The court heard Morgan is in custody facing separate charges in the Republic, and he was remanded into St Patrick's Institution for Children and Young People.
Sergeant Sean Fallon told the court that he arrested Morgan in the criminal courts complex on Monday morning, adding that gardaí were objecting to bail in relation to the extradition matter.
Morgan is due back in court on Tuesday, when a bail application will be heard.