Juninho opened the scoring before Brazil striker Fred was sent off for Fluminense.
Andre extended the lead before Carlinhos pulled one back, but Carlos Tenorio secured the win late on in the first domestic game played at the refurbished Maracana.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.