Published Wednesday, 18 December 2013
The 30-year-old victim was found shot in the head with his hands tied behind his back at Soldierstown Road in Aghalee in February 1998.
Father of four Mr Conway had been kidnapped from his Lurgan home the day before the killing, which was widely blamed on the IRA.
Gary Marshall, from Ennis Green in Lurgan, was arrested in a hotel on Monday in Birmingham and appeared at Craigavon Magistrates Court on Wednesday.
A detective said new forensic evidence links the 45-year-old to the killing. The court was told he had refused to answer any questions since his detention.
When he was being led from the dock to sign his bail conditions, which include surrendering his passport and reporting to the police daily, Marshall gave the thumbs up sign to his family and supporters including the republican campaigner Breandán Mac Cionnaith.
He will appear in court again on 22 January.
© UTV News