Throughout the 1990s Gastón Begue represented Argentina in Alpine skiing, making his international début at the 1990 Junior World Championships in Zinal, Switzerland. Just two years later Begue was named in the Argentine Olympic team, finishing 54th in the giant slalom and 61st in the super G at the 1992 Albertville Games. Now competing at the Alpine World Ski Championship, he had consistent results, in addition to becoming the Argentine national champion in the giant slalom in 1995. One year earlier Begue made his second appearance at the Olympics, placing 48th in the super G in Lillehammer. His daughter Nicole was also an Alpine skier, initially competing for the United States before representing Argentina.