Top 10 South American Teams That Have Never Won The Copa Libertadores Argentine Primera Division Posted by Dan Price March 10th 2015, 12:30 Follow @DanPriceMX 6. Fluminense One of the biggest teams in Brazil and the only one from the so called ‘big teams’ that have failed to win the Copa Libertadores. They have only played in one final, seven years ago, against Liga de Quito. Next PagePage 5 of 10Prev Page More Stories Alianza Lima América de Cali Atlas Barcelona SC Club Universitario de Sucre Deportivo Cali Emelec Fluminense Millonairios Universidad de Chile