She improved her best in the half marathon twice in 2012, first running 72:07 minutes at the Roma-Ostia Half Marathon, then setting a time of 70:31 at the national championships in Zagreb. That year she represented Croatia in the marathon at the 2012 London Olympics (timing 2:34:03 hours for 52nd place) and placed ninth at the 2012 European Cross Country Championships. Stublić came third at the NYC Half Marathon in March 2013 and her run of 69:18 minutes was another big improvement to her national record mark. In April 2013, Stublić won the Zurich Marathon in 2:25:44, slicing nearly 5 minutes off her Croatian National Record. In November 2013, Stublić returned to New York City for the NYC Marathon finishing 12th in 2:34:49 and leading the New York Athletic Club to the team victory.