Dumbravă has 73 caps for Romania, with 3 tries, 73 conversions, 74 penalties and 2 drop goals scored, in an aggregate of 389 points. This makes him one of the current top scorers for his country. His first match was at 1 November 2002, in a 40-3 loss to Wales, in Wrexham, in a friendly game. Dumbravă played three games at the 2003 Rugby World Cup finals, but was only capped once at the 2007 Rugby World Cup finals. Nevertheless, he scored a conversion in his country's 14-10 win over Portugal. He was called for the 2011 Rugby World Cup, playing in three games and scoring 5 penalties, 15 points on aggregate. He was called once again for the 2015 Rugby World Cup, playing in a single game, as a substitute, without scoring.