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Hummels headed home from a corner five minutes into the second half to send the Germans, who won the title in 1997, into their first final in Europe's top club competition since 2013.
PSG, fresh from being crowned Ligue 1 champions and desperate to win their first ever Champions League trophy, found it hard going against a disciplined German defence, especially in the first half with forward Kylian Mbappe largely neutralised.
Atletico Madrid needed a penalty shootout to edge past Inter Milan and reach the Champions league quarterfinals
Borussia Dortmund needed a win to lift the title but ended up drawing 2-2 with Mainz.
Chelsea reached the Champions League quarter-finals as a first-half goal from Raheem Sterling and a controversial penalty by Kai Havertz overturned a first-leg deficit on Tuesday.
Big-spending Chelsea's inefficiency in front of goal has been an issue for the Premier League club this season and they have registered only one win in 2023.
Haaland grabbed an outrageous 84th-minute winner against his former club.
City did not provide financial details of the deal but German media reported that the total cost of buying Haaland could exceed 300 million euros ($314.22 million), including his salary, agent fees and bonuses.
The Baverians sealed the title with a 3-1 win over rivals Borussia Dortmund and with three games to spare.
Real Betis defeated 3-2 Zenit St Petersburg after scoring twice in the first 20 minutes.
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