Burgmeier is a Liechtenstein international who made his debut in a 2002 World Cup qualifier against Spain on 5 September 2001. It was the penultimate game of the side's qualifying campaign, in which they lost all eight games without scoring a goal. Despite starting the qualifying round for 2004 European Championships with a 1–1 draw with Macedonia, Liechtenstein lost their remaining games to finish bottom of their group. Burgmeier featured in seven of the qualification matches.