Jude Bellingham scored a dramatic late winner to give Real Madrid a 3-2 advantage over Manchester City heading into next week's second leg at the Bernabeu.
The visitors enjoyed the better of the opening exchanges, with Vinicius Jr and Rodrygo both going close, but City worked their way back into the contest and took the lead in the 19th minute after Erling Haaland fired home following fine work from Jack Grealish and Josko Gvardiol.
City threatened to extend their advantage as Manuel Akanji clipped the crossbar with a header, but the Swiss defender limped off at half time after Grealish had been forced off with his own injury blow.