However, as with the quarterfinal draw, the legs for United's tie would be switched if both Manchester clubs go through.
Manchester United's tie against Barcelona means caretaker manager Ole Gunnar Solskjaer will enjoy another trip to the Nou Camp, where he scored the victor in United's Champions League final win over Bayern Munich in 1999.
For Solskjaer, the second leg will bring back memories of the 1999 final, when the Norwegian came off the bench to score a stoppage-time victor for United against Bayern Munich at Barcelona's Camp Nou stadium.
The first legs of Juventus vs. Ajax and Barcelona vs.
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At the draw at the Uefa headquarters in Nyon, Switzerland on Friday, the draw also pitted Premier League title challengers Liverpool against Portuguese club Porto, and Italian champions Juventus against Dutch side Ajax. The two teams meet again in the league just days after the second leg, on April 20.
FC Porto, who won the competition in 2004 under Jose Mourinho, are confident they can spring an upset after last year's mauling.
They also became the third Bundesliga side to crash out of the competition in seven days, concluding a hard week for German football. The final is scheduled for June 1 at the Metropolitano Stadium, the home of Atletico Madrid. Ajax last won the Champions League in 1995, while Manchester United last won in 2008 and Juventus most recently won in 1996. Two of them next season will not be in the Champions League.