Breiðablik competed in a European competition for the first time in 2010, facing Scottish Premier League side Motherwell in the Europa League. They lost the first leg 1–0 in Scotland, and lost by the same scoreline in the return leg, meaning that the team lost 2–0 on aggregate. A year later, Breiðablik faced Rosenborg in the UEFA Champions League qualifiers, losing out 2–5 on aggregate. The team won away from home in Europe for the first time with a memorable 1–0 victory over Austrian side SK Sturm Graz in the 2013–14 competition.