Falasca played for the Spain national team between 1993 and 2009. He played at club level for many teams, including Las Palmas, Pòrtol, Skra Bełchatów and Ural Ufa. He represented Spain at the 2000 Summer Olympics and won the European Volleyball Championship in 2007. He also was a three-time medallist of the European Volleyball League (gold in 2007, silver in 2009, bronze in 2005).