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Bayern striker Eric Choupo-Moting scored the only goal before the interval but it was not enough to overturn the German side's 3-2 loss in last week's first leg against PSG.
Superb individual goals from English pair Mason Mount and Ben Chilwell gave Chelsea a 2-0 win away to Porto in their quarterfinal first leg in Seville.
Second-half goals from Mohamed Salah and Sadio Mane eased Liverpool into the quarterfinals with a 2-0 second-leg win over RB Leipzig, to complete a comfortable 4-0 aggregate victory.
Liverpool's Mohamed Salah and Sadio Mane were on target to snap a three-match losing run as their side stunned RB Leipzig 2-0 in another round of 16 first-leg tie.
Pochettino, who played for PSG as a defender in the early 2000s and also captained the side, has been out of a job since being dismissed by Spurs in November, 2019.
Houllier rebuilt Liverpool from Premier League underachievers into a cup treble winning side in 2001.
The clash of Lionel Messi and Barca with last year's runners-up PSG is a repeat of their remarkable meeting at the same stage in 2017 when Barca overcame a 4-0 first leg loss to beat the French club 6-1 in Spain.
Basaksehir's assistant coach Pierre Webo was shown a red card for protesting against a refereeing decision and the Turkish side then alleged that the fourth official Sebastian Coltescu used a racist term towards the Cameroonian.
Neymar bagged a hat-trick as Paris St Germain topped Group H with a 5-1 home victory over Istanbul Basaksehir on Wednesday, a day after the game was suspended amid an alleged racist incident.
United, PSG and RB Leipzig all on nine points heading into next week's final round of games in which the English side go to the German club and the French champions host Istanbul Basaksehir.