The 22-year-old German is Liverpool's most-expensive signing ever, ahead of captain Virgil van Dijk who joined for 75 million pounds in 2017.
Bayern kick off their season on Saturday with the German Super Cup against RB Leipzig. The Bundesliga starts next week.
Ciro Immobile scored a 69th-minute penalty to earn hosts Lazio a 1-0 victory over 10-man Bayern Munich.
Group winners Flamengo were held 1-1 by Los Angeles FC to finish on seven points, one ahead of Chelsea. Esperance finished third with three points while LA FC were bottom with one point.
Late Tchouameni header gives Real Madrid 2-1 Las Palmas win and top spot
Real Madrid beat holders Manchester City in an edge-of-your-seat 4-3 shootout victory to reach the semi-finals of the Champions League.
Barcelona won 3-1 at Alaves in La Liga on Saturday thanks to goals by Robert Lewandowski, Ilkay Gundogan and substitute Victor Roque, who was sent off after picking up a second yellow card.
Miami's Hard Rock Stadium was awash in Argentine passion as Boca Juniors fans turned it into a little Buenos Aires for their team's 2-2 draw with Benfica on Monday.
Sweden made the most of Germany defender Carlotta Wamser's expulsion to sweep to a 4-1 win and secure top spot in their Group C clash on Saturday, their opponents also going through to the quarter-finals as runners-up.
Bayern Munich's record signing Harry Kane scored once and set up another goal on his Bundesliga debut to steer the champions to a 4-0 victory at Werder Bremen.
'We've been talking during this week and now it's the right moment to announce it.'
Goals from captain Kylian Mbappe and Michael Olise earned France a 2-0 victory over Germany in Stuttgart on Sunday.
The city of Paris will show its support for Paris St Germain during their date with destiny in Saturday's Champions League final against Inter Milan.
A summary of Saturday's action in LaLiga, Serie A, Bundesliga and Ligue 1.
Bayern said the 30-year-old striker was signed until 2027 after protracted talks between the two clubs.
Images from Thursday's Women's Euro 2025 Group B matches between Spain-Portugal and Italy Belgium.
Images from the Champions League Round of 16 matches.
Real Madrid will play local rivals Atletico Madrid while Bayern Munich were drawn against Bundesliga title challengers Bayer Leverkusen on Friday.
'It was tough, but I know that she's involved somehow tonight. Maybe she's cheering me on from up there.'
Germany and Sweden occupy the top two spots in Group C on six points and meet in Zurich on Saturday to decide who will win the group after Sweden's aerial bombardment from the wings proved too much for the Polish defence.
Lionel Messi drew vast crowds and showed flashes of his brilliance when his Inter Miami side were held to a goalless draw by African giants Al-Ahly as the revamped Club World Cup got off to a festive start on Saturday.
Paris gets ready ahead of PSG's Champions League final
A wake is expected to take place at a chapel in Gondomar from 4 PM (1500 GMT) and a funeral on Saturday at a church nearby at 10 AM local time, Gondomar's mayor's office said.
'Did I leave too soon? No, my story was over, it had to end. There was no bitterness, I'd reached the end of my tether.'
The 33-year-old England international joined City from fellow Premier League club Tottenham Hotspur in 2017 and will reportedly sign a two-year contract extension, with his current deal set to expire in 2024.
Numerous players and coaches, including England captain Harry Kane, have voiced concern over player welfare with the revamped Club World Cup meaning less time off between seasons.
Images from soccer matches held across Europe on Saturday, March 16.
Nagelsmann's successor Tuchel, who had been a long-time Bayern target since their first attempt to sign him in 2018, has penned a deal to 2025, Bayern said.
Images from the UEFA Champions League final between Paris St Germain and Inter Milan, at Allianz Arena, Munich, Germany, on Saturday.
Bayern did not give a timeline on his return to action but said he was "doing well under the circumstances" and sat out of training on Sunday.
'I wanted to play internationally, in the Champions League, and fight for titles every year. Coming to Bayern gives me that opportunity. I am looking forward to that challenge.'
A Dani Carvajal strike in the ninth-minute of stoppage time rescued Real Madrid, earning them a 3-2 comeback win at home against bottom side Almeria on Sunday in a frantic LaLiga tussle that was marked by VAR controversy.
Images from the football matches played on Tuesday.
PSG's focus on unity, tactical discipline and collective effort has drawn widespread plaudits ahead of their showdown with Inter Milan, who eliminated Barcelona after a thrilling semi-final.
Paris St Germain's Champions League triumph marked the culmination of a profound transformation, from a club defined by star power to one shaped by structure, tactical clarity and collective belief.
Six points was the minimum requirement for England's opening two games and while the opposition were not of the highest quality, Tuchel said they were useful tests.
Arne Slot is the first to win the top flight in England where many of his compatriots have suffered dents to their reputations over the years.
Rodrygo and new recruit Jude Bellingham scored first-half goals to give Real Madrid a 2-0 win at Athletic Bilbao to kick off their LaLiga season.
A round-up of Tuesday's Champions League quarter-finals second leg between Barcelona and Dortmund, Aston Villa and Paris St Germain.
'Robert is an incredible player and he won everything with us. We are incredibly grateful to him.'
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