Born and raised in the United States, where she competed for the Columbia University, Stublic moved to Croatia, her father's homeland, and established herself as a leading long-distance athlete in the country, having set the Croatian records in 3000 meters steeplechase, 5000 meters, half marathon, and marathon.
She is the first Croatian marathon runner ever to qualify for the Olympic Games.
She finished 52nd in the marathon at the 2012 Olympics.
On 31 March 2016, Croatian-American marathon runner Lisa Nemec have been banned for doping for four years following an out-of-competition doping test taken in October 2015.