Jose Mourinho and Co also paired with Valencia and Young Boys while Liverpool and Tottenham received nightmare groups.
The Reds will go up against Paris Saint-Germain and Napoli, as well as Red Star Belgrade in one of the most intriguing battles.
Tottenham meanwhile will have to battle past Barcelona – along with PSV and Inter Milan.
Elsewhere, Manchester City drew Shakhtar Donetsk, Lyon and Hoffenheim in one of the easier groups.
Real Madrid, who will be defending their crown for the fourth consecutive year, will fancy their chances of progressing against Roma, CSKA Moscow and Viktoria Plzen.
Group A is also sure to produce some exciting ties with Atletico Madrid facing both Borussia Dortmund and Monaco.
Belgium side Club Brugge make up the final four and will be hoping to defy the odds.
German giants Bayern Munich have been placed in a group alongside Benfica, Ajax and AEK Athens.
Finally 2004 winners Porto will face Lokomotiv Moscow, Schalke and Galatasaray in Group D.
When are the Champions League matches?
18/19 September: Group stage matchday one
2/3 October: Group stage matchday two
23/24 October: Group stage matchday three
6/7 November: Group stage matchday four
27/28 November: Group stage matchday five
11/12 December: Group stage matchday six
17 December: Round of 16 draw
12/13 and 19/20 February: Round of 16 first leg
5/6 and 12/13 March: Round of 16 second leg
15 March: Quarter-final and semi-final draw
9/10 April: Quarter-finals first leg
16/17 April: Quarter-finals second leg
30 April/1 May: Semi-finals first leg
7/8 May: Semi-finals second leg
1 June: Final (Estadio Metropolitano, Madrid)
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