Sir Alex Ferguson’s side, who beat Premier League rivals Chelsea on penalties in the final in Moscow in May, were also joined by Spanish side Villarreal and Danish club Aalborg in Group E.
The trip to Spain to play Villarreal will bring back bad memories for England striker Wayne Rooney who was sent off playing against the same club in September, 2005.
Rooney was dismissed after reacting to a booking by sarcastically applauding Kim Milton Nielsen’s decision right under the referee’s nose.
It left the man who famously sent David Beckham off during England’s World Cup clash with Argentina in 1998 with little alternative other than to brandish a second yellow and dismiss Rooney from the field.
Runners-up Chelsea have been drawn in Group A along with Italian giants Roma, French side Bordeaux and Romanian club Cluj.
Luiz Felipe Scolari’s team will look to go one better than last season when they were beaten on penalties by United.
Arsenal have been drawn in Group G with Porto, Fenerbahce and Dynamo Kiev.
Liverpool striker Fernando Torres faces an emotional return to former club Atletico Madrid after the Anfield outfit were drawn in Group D along with PSV Eindhoven and Marseille.
Chelsea, Roma, Bordeaux, CFR Cluj
September 16: Chelsea v Bordeaux; AS Roma v CFR Cluj.
October 1: CFR Cluj v Chelsea; Bordeaux v AS Roma.
October 22: Bordeaux v CFR Cluj; Chelsea v AS Roma.
November 4: CFR Cluj v Bordeaux; AS Roma v Chelsea.
November 26: Bordeaux v Chelsea; CFR Cluj v AS Roma.
December 9: Chelsea v CFR Cluj; AS Roma v Bordeaux.
Inter Milan, Werder Bremen, Panathinaikos, Anorthosis Famagusta
September 16: Panathinaikos v Inter Milan; Werder Bremen v Anorthosis Famagusta.
October 1: Anorthosis Famagusta v Panathinaikos; Inter Milan v Werder Bremen.
October 22: Inter Milan v Anorthosis Famagusta; Panathinaikos v Werder Bremen.
November 4: Anorthosis Famagusta v Inter Milan; Werder Bremen v Panathinaikos.
November 26: Inter Milan v Panathinaikos; Anorthosis Famagusta v Werder Bremen.
December 9: Panathinaikos v Anorthosis Famagusta; Werder Bremen v Inter Milan.
Barcelona, Sporting Lisbon, Basel, Shakhtar
September 16: Basel v Shakhtar Donetsk; Barcelona v Sporting.
October 1: Sporting v Basel; Shakhtar Donetsk v Barcelona.
October 22: Shakhtar Donetsk v Sporting; Basel v Barcelona.
November 4: Sporting v Shakhtar Donetsk; Barcelona v Basel.
November 26: Shakhtar Donetsk v Basel; Sporting v Barcelona.
December 9: Basel v Sporting; Barcelona v Shakhtar Donetsk.
Liverpool, PSV, Marseille, Atletico Madrid
September 16: PSV Eindhoven v Atletico Madrid; Marseille v Liverpool.
October 1: Liverpool v PSV Eindhoven; Atletico Madrid v Marseille.
October 22: Atletico Madrid v Liverpool; PSV Eindhoven v Marseille.
November 4: Liverpool v Atletico Madrid; Marseille v PSV Eindhoven.
November 26: Atletico Madrid v PSV Eindhoven; Liverpool v Marseille.
December 9: PSV Eindhoven v Liverpool; Marseille v Atletico Madrid.
Manchester United, Villarreal, Celtic, AAB Aalborg
September 17: Manchester United v Villarreal; Celtic v AaB Aalborg
September 30: AaB Aalborg v Manchester United; Villarreal v Celtic.
October 21: Villarreal v AaB Aalborg; Manchester United v Celtic.
November 5: AaB Aalborg v Villarreal; Celtic v Manchester United.
November 25: Villarreal v Manchester United; AaB Aalborg v Celtic.
December 10: Manchester United v AaB Aalborg; Celtic v Villarreal.
Lyon, Bayern Munich, Steaua Bucharest, Fiorentina
September 17: Steaua Bucharest v Bayern Munich; Olympique Lyon v Fiorentina.
September 30: Fiorentina v Steaua Bucharest; Bayern Munich v Olympique Lyon.
October 21: Bayern Munich v Fiorentina; Steaua Bucharest v Olympique Lyon.
November 5: Fiorentina v Bayern Munich; Olympique Lyon v Steaua Bucharest.
November 25: Bayern Munich v Steaua Bucharest; Fiorentina v Olympique Lyon.
December 10: Steaua Bucharest v Fiorentina; Olympique Lyon v Bayern Munich.
Arsenal, Porto, Fenerbahce Dynamo, Kiev
September 17: Porto v Fenerbahce; Dynamo Kiev v Arsenal.
September 30: Arsenal v Porto; Fenerbahce v Dynamo Kiev.
October 21: Fenerbahce v Arsenal; Porto v Dynamo Kiev.
November 5: Arsenal v Fenerbahce; Dynamo Kiev v Porto.
November 25: Fenerbahce v Porto; Arsenal v Dynamo Kiev.
December 10: Porto v Arsenal; Dynamo Kiev v Fenerbahce.
Real Madrid, Juventus, Zenit St Petersburg, BATE Borisov
September 17: Juventus v Zenit St. Petersburg; Real Madrid v BATE Borisov.
September 30: BATE Borisov v Juventus; Zenit St. Petersburg v Real Madrid.
October 21: Zenit St. Petersburg v BATE Borisov; Juventus v Real Madrid.
November 5: BATE Borisov v Zenit St. Petersburg; Real Madrid v Juventus.
November 25: Zenit St. Petersburg v Juventus; BATE Borisov v Real Madrid.
December 10: Juventus v BATE Borisov; Real Madrid v Zenit St. Petersburg.