Roberto Firmino Brazil Venezuela Copa America 2015
Brazil forward Roberto Firmino scores the winner against Venezuela in their Copa America 2015 matchReuters

Thiago Silva and Roberto Firmino scored either side of halftime to fire Brazil to a 2-1 win over Venezuela at the Copa America on Sunday, sending the five-time world champions into a quarterfinal with Paraguay.

The victory completed the quarterfinal line up that will see hosts Chile face Uruguay on Wednesday, Peru take on Bolivia on Thursday, and Colombia line up against Argentina on Friday.

Saturday's tie between Brazil and Paraguay will be a repeat of four years ago when the Paraguayans advanced on penalties.

"Paraguay is a hard opponent, anyone who watched the last Copa America could see that they got to the final and deservedly so," defender Thiago Silva said on Brazilian television after the game.

Venezuela had never beaten Brazil in six Copa America games and their job was made all the harder after just nine minutes.

Thiago Silva, recalled to the side for this match after being dropped, opened the scoring in spectacular style when he volleyed home a corner from former Real Madrid striker Robinho.

Firmino doubled their lead six minutes into the second half when he leapt to volley home a cross from Willian on the left.

Nicolas Fedor got a consolation goal for Venezuela six minutes from time when he stooped to head home from close range after Jefferson had touched a freekick from Juan Arango onto the post.

The result takes Brazil's goalscoring record against Venezuela in the Copa America to 27 goals for to two against.

Earlier, Colombia put themselves in danger of missing out on qualification after a lacklustre 0-0 draw with Peru on Sunday.

The result took Peru into the quarterfinals, with Colombia only advancing thanks to Brazil's win over Venezuela.

"We didn't play well and we're suffering," Colombia's James Rodriguez said. "We need to look at ourselves and recognise that when we don't score we have to take responsibility."

Colombia were the better side and Peruvian keeper Pedro Gallese got down well to stop Radamel Falcao opening the scoring in the third minute. Pablo Armero then shot into the side netting after a defence splitting pass from Rodriguez.

Jackson Martinez missed a great chance to guarantee Colombia's advance when he scuffed a weak shot straight at the keeper in injury time.