Each of their two European Championship appearances to date have resulted in group-stage exits but the Austria Euro 2020 odds suggest their fortunes may be about to change.
In fact, Austria have never actually won a match at the finals of this competition but they did hold eventual winners Portugal to a draw in their group in 2016.
The outlook is slightly different this time around, though, as Austria go into the tournament in decent shape.
Franco Foda's men qualified automatically for this summer's showpiece with a runner-up finish in Group G, and on their way to achieving second spot they twice beat North Macedonia, who they will meet again in their group at the finals.
Also, they have some seriously dangerous players in their ranks. Among them are Bayern Munich star David Alaba and former Stoke and West Ham attacker Marko Arnautovic, who notched six times in qualifying.
Goalkeepers: Daniel Bachmann (Watford), Pavao Pervan (Wolfsburg), Alexander Schlager (LASK)
Defenders: David Alaba (Bayern), Aleksandar Dragovic (Leverkusen), Marco Friedl (Werder Bremen), Martin Hinteregger (Frankfurt), Stefan Lainer (Monchengladbach), Philipp Lienhart (Freiburg), Stefan Posch (Hoffenheim), Andreas Ulmer (Salzburg)
Midfielders: Julian Baumgartlinger (Leverkusen), Christoph Baumgartner (Hoffenheim), Florian Grillitsch (Hoffenheim), Stefan Ilsanker (Frankfurt), Konrad Laimer (RB Leipzig), Valentino Lazaro (Inter Milan), Karim Onisiwo (Mainz), Marcel Sabitzer (RB Leipzig), Louis Schaub (Luzern), Xaver Schlager (Wolfsburg), Alessandro Schopf (Schalke), Christopher Trimmel (Union Berlin)
Forwards: Marko Arnautovic (Shanghai Port), Michael Gregoritsch (Augsburg), Sasa Kalajdzic (Stuttgart)