The Blaugrana are rewarded for their second-leg triumph against AC Milan with a last-eight tie against the French giants to highlight the quarterfinal pairings.
The draw for the last eight of the Champions League took place in Nyon, Switzerland on Friday, and some enticing ties await.
2011 winner Barcelona, who overturned a 2-0 deficit to dump out AC Milan, will face Ligue 1 outfit Paris Saint-Germain, with the first leg taking place in the French capital.
Last season's finalist Bayern Munich face a tough clash with Serie A leaders Juventus in another huge fixture.
Primera Division champions Real Madrid are rewarded for their victory over Manchester United with a tie against Turkish giants Galatasaray, while Malaga, who knocked out Portugese giant Porto, takes on German champion Borussia Dortmund.
The four first legs will take place on April 2 and 3, with the second legs scheduled for April 9 and 10.
The draw for the semifinals will be held on April 12, and the tournament concludes at Wembley Stadium on May 25.Real Madrid vs Galatasaray
Barcelona vs Paris Saint-Germain
Juventus vs Bayern Munich
Malaga vs Borussia Dortmund