The sides have faced each other on eight previous occasions – four different two-legged ties – and will meet again in this season's competition.
United travel to Madrid on Wednesday 13 February before hosting the Spanish champions at Old Trafford on Tuesday 5 March.
The clubs famously met at the semi-final stage in 1968. The Reds won 1-0 at Old Trafford before clinching a dramatic 3-3 draw at the Bernabeu in front of 125,000 fans.
We have video from the first leg in Manchester, although be warned: it's not the sharp, high-definition footage you've come to expect these days. Still, we hope you enjoy watching action from one of the most memorable European Cup ties in United's history.