The Italian giants travel to the Spanish capital while Lionel Messi and Co meet familiar opponents after being paired with the Rossoneri for the third year in a row.
Nine-time European champions Real Madrid have been paired with Juventus in the pick of Thursday afternoon's Champions League draw in Monaco.
Group A: Man United, Shakhtar Donetsk, Bayer Leverkusen, Real Sociedad
Group B: Real Madrid, Juventus, Galatasaray, Copenhagen,
Group C: Benfica, PSG, Olympiacos, Anderlecht
Group D: Bayern Munich, CSKA Moscow, Manchester City, Viktoria Plzen
Group E: Chelsea, Schalke, FC Basel, Steaua Bucharest
Group F: Arsenal, Marseille, Dortmund, Napoli
Group G: Porto, Atletico Madrid, Zenit, Austria Vienna
Group H: Barcelona, AC Milan, Ajax, Celtic