Dağ was born in Turkey but came to Austria with his family when he was 8 years old. His father was a Gastarbeiter. Dağ grew up in Leibnitz and holdsAustrian and Turkishdual nationality, making him eligible for both countries. Dağ chose Austria over Turkey, and was due to make his debut on 31 May 2009; however this dream was stopped by injury. Dağ was called up to the Austria national team again on 10 October 2009 for the game against Lithuania, but was an unused substitute. His first cap eventually came in a friendly against Denmark on 3 March 2010. Austria won the match 2–1.