At the 2007 World Championships in Åre, Sweden, Albrecht won the gold medal in the super combined event, and took the silver medal in the giant slalom. A month later he made his first World Cup podium, a second-place finish in the downhill at Lenzerheide. Eight months later he won his first World Cup race, a super combined held in Beaver Creek, Colorado, followed by a giant slalom victory three days later.