 Bermúdez played at the club level for several teams in Colombia including Deportes Quindío, América de Cali, Deportivo Quevedo, Deportivo Pereira and Independiente Santa Fe.He started his career with Deportes Quindio which was also the team he finished his career with 17 years later.Bermúdez also played for a number of clubs outside Colombia including Benfica (Portugal), Boca Juniors (Argentina), Olympiakos Pireus (Greece), Newell's Old Boys (Argentina) and Barcelona Guayaquil (Ecuador).