Goalkeeper Fulop and striker Priskin were both in the squad which faced England at Wembley on Wednesday night and could start against the Clarets.
Manager Roy Keane fielded a youthful side in the 3-2 Carling Cup win at Exeter on Tuesday night and is expected to make a raft of changes, with new signing Andros Townsend available after arriving on loan from Spurs.
Jaime Peters, Tommy Smith, Grant Leadbitter and Jon Walters should all return after starting the fine 3-1 win at Middlesbrough last weekend, but Keane has injury concerns.
Centre-half Gareth McAuley was due to play for Northern Ireland against Montenegro in Podgorica on Wednesday but suffered a back injury at the Riverside and was withdrawn from the squad.
Winger Carlos Edwards created a goal for Priskin last weekend before being forced off with a groin injury which will sideline him for several weeks, while Mark Kennedy sustained a hamstring injury on his debut. Midfielder Conor Hourihane is available for his debut after missing out in midweek due to Republic of Ireland Under-21 duties.