Albert competed in the bobsleigh at five consecutive Winter Olympics for Monaco, taking part in both the two-man and four-man events. In the two-man bobsleigh Albert finished 25th at the 1988 games in Calgary, 43rd at the 1992 games in Albertville, and 31st at the 2002 games. In the four-man bobsleigh Albert finished 27th in 1992, 26th at the 1994 games in Lillehammer, and 28th at both the 1998 games in Nagano and the 2002 games in Salt Lake City. Albert was Monaco's flag bearer at the 1988, 1994, and 1998 Winter Olympics. He also took part in the 1985 Paris–Dakar Rally, but did not complete it. Albert has been a member of the International Olympic Committee since 1985, and his maternal grandfather, John B. Kelly Sr., and maternal uncle, John B. Kelly Jr., were both Olympic medalists in rowing. In 2017 Albert gained OLY post-nominal status under his competition name of Albert Grimaldi. He became a judo black belt in 2011.