The Italian champions eliminated FC Porto and Barcelona overturned a 4-0 first leg defeat to beat PSG 6-1 in the return leg to progress.
The clash is a repeat of the 2015 final when the Catalans won 3-1 at the Olympiastadion Berlin, Berlin.
The first-legs ties for the quarter-finals take place on the week commencing April 10, with the return fixtures taking place the following week.
There will be two games on the Tuesday night and two on the Wednesday night of each week.
