Harry Kane scored twice as Tottenham beat Borussia Dortmund to get their Champions League campaign off to a positive start and end their winless run at Wembley.
Kane’s instinct in front of goal was the difference as Spurs were largely forced on the back foot by an impressive German side who dominated territory and possession.
In the other game of the night, John Stones scored twice as Manchester City got their Champions League group campaign under way with a commanding win over Dutch side Feyenoord in Rotterdam.
Stones registered City’s fastest ever goal in the competition with a header after two minutes as Pep Guardiola’s men made a perfect start.
Sergio Aguero doubled the lead after 10 minutes, latching on to Kyle Walker’s cross and volleying into the roof of the net to claim his 23rd goal in 41 Champions League games for the club.
Gabriel Jesus netted on his Champions League debut as City went 3-0 up after 25 minutes, the Brazilian calmly slotting into an empty net after Benjamin Mendy’s shot had been palmed out by Brad Jones.
Feyenoord improved after the break but City still had too much for them, Stones adding his second with another header from a corner to wrap up a one-sided win for the Premier League side.
Finally, it took Sevilla just five minutes to take the lead as Wissam Ben Yedder tapped in from close range after home defender Dejan Lovren fell over while trying to clear the ball.
Liverpool have conceded eight goals in three league games so far this season, and their problems at the back were in evidence again at Anfield. They have now failed to keep a clean sheet in 11 of their past 12 Champions League contests.
Sadio Mane tested visiting goalkeeper Sergio Rico with a low drive as Liverpool looked to get back into the game, and they managed to do so when Roberto Firmino finished off a fine team move from close range.
The five-time winners continued to push forward and were rewarded as Mohamed Salah’s strike looped in via a huge deflection off Simon Kjaer, but then Firmino, presented with the chance to give the home side breathing space, struck a penalty against the post.
Georginio Wijnaldum came close with a low drive in the second half but the English side were punished for not adding to their advantage when they conceded with 18 minutes remaining.