Since 1998, Bramble has had an on-and-off relationship with the U.S. Ski Team, often competing in World Cup competition but eschewing traditional race training in favor of freeskiing with friends at Squaw Valley, California. His greatest success has come in downhill, beginning with a World Cup win on the Paralympic course at Snowbasin, Utah in 2001. A year later, Bramble was the odds-on favorite to win the downhill gold at the 2002 Winter Paralympics in Salt Lake City, Utah, and he did not disappoint, beating teammate Chris Devlin-Young by just 0.17 seconds. Two years later at the Disabled Alpine Skiing World Championships in Wildschönau, Austria, he again won gold in downhill, defeating Germany's Thomas Mayer by an astonishing 1.44 seconds. Two years later at the 2006 Winter Paralympics in Torino, Italy, the pressure was on Bramble to win his third straight major world downhill championship. Once again Bramble proved his dominance, again knocking teammate Devlin-Young down to the silver-medal position with a wild run that won him the gold by nearly a full second.