For the draw held at UEFA’s headquarters in Nyon, Switzerland, teams were not seeded, whilst teams from the same country were able to be drawn against each other.
However, the Spanish trio were all kept apart, with Barca rewarded for overcoming Milan in the Last 16 with a mouth-watering tie against Paris Saint-Germain. The game will be another return to the Camp Nou for Zlatan Ibrahimovic.
Real Madrid, who defeated Manchester United in the previous round, will face a reunion with one of their former players in Wesley Sneijder this round, in a rematch of their 2001 Champions League quarter-final, as they play Galatasaray.
Malaga, making their competition debut and fresh off the back of overcoming Porto this week, were first out of the pot and face a first ever competitive test against German champions Borussia Dortmund.
The first legs of the quarter-finals will be played across the nights of April 2 and 3, whilst the second legs will be contested the following week across April 9 and 10.
The draw for the semi-final has been split this season from the quarter-final draw, and will only take place once the final four teams are determined.
Champions League quarter-final draw
Malaga-Borussia Dortmund
Real Madrid-Galatasaray
Paris Saint-Germain-Barcelona
Bayern Munich-Juventus