Friday's draw means Silva will come up against fellow Selecao stars David Luiz, Willian, Oscar and Ramires in what promises to be a mouth-watering last-eight tie.
"I'm happy because Chelsea has many Brazilian players," he told reporters. "I look forward to it! It will be a great duel between two great clubs.
"I hope that unlike last season we will reach the semifinals. The quarterfinals are all difficult and we hope the second leg will not be decisive."
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PSG chief executive Jean-Claude Blanc was present at the draw in Nyon and said the Ligue 1 champion is full of respect for Jose Mourinho's side.
"I think there are eight very big teams in the quarterfinals. Chelsea is a big team but there is no side easier than any other. We are respectful of this team, they have great players, a great coach, we so do we."
Laurent Blanc's men will host Chelsea in the first leg on April 1/2, with the second leg at Stamford Bridge scheduled for April 8 or 9.