He was the regular jockey for Curlin, who was the favorite and finished third in the 2007 Kentucky Derby. Albarado won his first Triple Crown race at the 2007 Preakness Stakes aboard Curlin, edging out Derby winner Street Sense. The pair was denied victory at the 2007 Belmont Stakes when Curlin lost to champion filly Rags to Riches by a nose. Albarado later won the 2007 Breeders' Cup Classic aboard Curlin, which was his first Breeders' Cup win. The two combined to win the Dubai World Cup in 2008.