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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.
Borussia Dortmund striker Erling Haaland struck in each half as they advanced to the quarterfinals after a 2-2 draw with Sevilla in their last-16 second leg to complete a 5-4 aggregate win.
Borussia Dortmund's Erling Haaland continued his prolific run in the Champions League by scoring twice as his side came from behind to earn a 3-2 win at Sevilla in a last-16 first leg.
He had suffered a heart attack during a training session last year and has not played any competitive football since April, 2019.
It looked as though Madrid's fate would be out of their hands heading into next week but Inter Milan handed them a lifeline by beating leaders Borussia Moenchengladbach 3-2.
The result ended a five-match winning run in Europe for Porto, who will welcome Roma to the Estadio do Dragao for the second leg on March 6.
A resurgent Mohamed Salah scored one and set up another to inspire a clinical Liverpool to a 4-1 win at Porto in their Champions League quarter-final second leg.
On a bitterly cold night at Anfield, Liverpool were well below their best and Porto deserve credit for a determined performance after going two goals down in 26 minutes.
Alex Telles emphatically converted the spot-kick to give Porto a 4-3 aggregate win in the round of 16 tie and heap further pressure on Roma coach Eusebio Di Francesco.
Militao has agreed a six-year contract and will become coach Zinedine Zidane's first signing after his return to the Santiago Bernabeu this week.
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