Liverpool down Real Madrid in UCL, Bayern edge PSG

Alexis Mac Allister scored the only goal as Liverpool beat Real Madrid in the Champions League on Tuesday, while Luis Diaz grabbed a brace as Bayern Munich sunk title-holders Paris Saint-Germain 2-1 in the French capital.

Premier League leaders Arsenal won 3-0 at Slavia Prague as rising star Max Dowman came off the bench to become the youngest player in the competition's history, at just 15 years and 308 days old.

Leaders Bayern and second-placed Arsenal remain the only teams with a perfect record in the competition -- alongside Inter Milan, who play their fourth match on Wednesday against Kazakh newcomers Kairat Almaty.

At Anfield, Real Madrid goalkeeper Thibaut Courtois produced a stellar performance to frustrate six-time champions Liverpool.

In a performance reminiscent of his match-defining display in the 2022 final against the same opposition -- which the Spaniards won 1-0 -- Courtois produced eight saves to keep back the hosts.

"He is a fantastic 'keeper -- we all know," Mac Allister told Amazon Prime. "But today I think we were better and deserved to win."

The Argentinian eventually broke Courtois' resistance shortly after the hour with a header from a Dominik Szoboszlai free-kick in an encounter which saw former Liverpool hero Trent Alexander-Arnold return to his hometown amid a hail of boos when he emerged from the Madrid bench late on.

Arne Slot will be hoping the result marks a turning point for his side after they had come into the match with six defeats in their previous eight outings.

For previously unbeaten Madrid, it was first defeat in any competition since September's 5-2 reversal at Atletico Madrid.

"It's a tough blow to take because we came from a run of good games, but the important thing is to move forwards," Real's Fede Valverde told Movistar.

'Just the beginning' 

PSG welcomed Bayern to the Parc des Princes for a fixture which midfielder Vitinha had said would bring together "the two best teams in Europe".

And it was the Bundesliga champions who emerged victorious as they made it 16 wins from 16 outings in all competitions this season.

"I know the Champions League winner is not decided now, otherwise PSG would not have won it last season," Bayern coach Vincent Kompany said.

"But this was a very important three points."

Summer signing Diaz claimed the headlines as he netted a brace before being sent off for a dangerous tackle on Achraf Hakimi, all in the opening 45 minutes.

Hakimi had to be helped from the field in tears, following recent Ballon d'Or winner Ousmane Dembele who came off after just 25 minutes.

Bayern took the lead inside five minutes and then overwhelmed PSG's usually unflappable midfield and defence with their intense pressing game.

Diaz grabbed a second when he robbed Marquinhos of possession and slotted home after the half-hour.

His dismissal then changed the game as PSG fought back in the second period but Joao Neves' 74th-minute header was not enough to stop the Ligue 1 champions falling to a first defeat in this year's league phase.

Bayern, on the other hand, sit top with a perfect 12 points.

Arsenal lie just behind them after a Mikel Merino-inspired win in the Czech Republic earned them a fourth win from four.

The Spaniard netted twice in the second period to seal victory against Slavia Prague, after Bukayo Saka opened the scoring from 12 yards in the 32nd minute.

Another cleansheet meant Mikel Arteta's side are still yet to concede in the competition this year.

"We are a very strong team, we are performing in an amazing way with a lot of clean sheets," Merino said.

"But we know that this is just the beginning and we have to keep up this good work in the future to win big things."

Elsewhere, Micky van de Ven scored a stunning solo effort as Europa League winners Tottenham won 4-0 at home to FC Copenhagen.

Atletico Madrid got back to winning ways following a heavy defeat to Arsenal last time out by seeing off Belgium's Union Saint-Gilloise 3-1.

Serie A sides Napoli and Juventus both endured frustrating draws as the league champions played out a goalless stalemate at home to Eintracht Frankfurt and Sporting Lisbon held Juventus 1-1 -- the Old Lady's third draw so far this campaign.

Monaco earned a first win, 1-0 at debutants Bodo/Glimt of Norway, and PSV Eindhoven drew 1-1 at Olympiacos.

On Wednesday, Inter Milan will seek to rejoin Bayern and Arsenal atop the standings, while Manchester City host Borussia Dortmund and Athletic Bilbao travel to Newcastle's St James' Park.