Originally the sixth overall pick by New Orleans in the 1986 NFL Draft, Dombrowski started 137 games while appearing in 151 games over his Saints career. Over 11 seasons from 1986-96, his 151 games played are the 11th-most in franchise history. Dombrowski played left tackle until the middle of the 1989 season, and then played left guard for the remainder of his career. He was named to the franchise's 30th and 35th anniversary teams.