Holger Osieck
Galekovic has been called up for Australia in a preliminary squad with teammates Scott Jamieson and Paul Reid after impressive performances in the A-League and the Asian Champions League. He made his first senior international football debut for Australia on 28 January 2009 in an AFC Asian Cup qualifying match versus Indonesia. He was disappointing in his last outing against Kuwait, by letting in two poor goals after Australia conceded a 2–0 advantage. After Brad Jones left the 2010 World Cup 23-man squad to help his son battle leukaemia, he was called in as a replacement, after missing selection in the 23-man squad first time around. Eugene was selected by Holger Osieck for a 2013 EAFF East Asian Cup qualifying tournament. He started the first match against hosts Hong Kong and came up with audacious stops to save Australia from humiliation as they won 1–0 with a solo effort from Brett Emerton. The other game that Galekovic was a part of a 9–0 thrashing of Guam. After a string good performances for Adelaide United, Holger Osieck selected Eugene Galekovic as part of his 23-man squad for the decisive 2014 FIFA World Cup qualification (AFC) match against Oman.