Chelsea will visit Montpellier in their quarter-final 1st leg tie, while Manchester City host Linköping before travelling to Sweden for the return match.
Holders Lyon were paired with Barcelona, while Wolfsburg play Slavia Praha.
The semi-final draw then determined that any Chelsea versus Man City clash can only be in the final itself.
UWCL QUARTER-FINALS DRAW
Montpellier v Chelsea
Wolfsburg v Slavia Praha
Manchester City v Linköping
Olympique Lyonnais v Barcelona
Ties to be played on 21/22 & 28/29 March
Montpellier / Chelsea v Wolfsburg / Slavia Praha
Manchester City / Linköping v Olympique Lyonnais / Barcelona
Ties to be played on 21/22 & 28/29 April
The final will be on 24 May at the Valeriy Lobanovskiy Dynamo Stadium in Kyiv, Ukraine.