They went ahead through Alecsandro before Carlos Tenorio doubled the lead in a game where both teams had a man sent off.
Elsewhere in Brazil, Fluminense were held 2-2 by Figueirense.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.