The Greek hosts took an early surprise lead through Francisco Chiquinho's 20-yard strike. But Mbappe stepped up for the visitors and struck three times in the space of seven minutes - the second quickest Champions League hat-trick ever. The Frenchman first ran on to Vinicius Jr's wonderful pass behind the defence to finish calmly - and then headed in Arda Guler's cross. Mbappe looked unstoppable as he then beat the offside trap to net his hat-trick from Eduardo Camavinga's pass. He then found Vinicius, who found the net, but his effort was ruled out for an offside against the French forward. Aurelien Tchouameni hit the bar as Real - without five defenders and their first-choice goalkeeper through injury and illness - continued to dominate. But a bullet header from substitute Mehdi Taremi got Olympiacos back into the game. Mbappe bagged his fourth with a close-range poked effort from Vinicius' pass. But Ayoub el Kaabi's header again gave Olympiacos late hope. It ended a three-game winless run for Real in all competitions and marked their first competitive win in Athens in their 10th visit. They are fifth in the standings, three points off leaders Arsenal, while their Greek hosts are 33rd on two points.

Arsenal were dominant from the beginning of the game and took the lead in the 22nd minute when Jurrien Timber headed in Bukayo Saka's corner - the 10th goal that Arsenal have scored from a corner this season, the most of any side in Europe's top five leagues. Bayern grew into the match after going behind and equalised 10 minutes later when Joshua Kimmich hit a crossfield pass to Serge Gnabry and the former Arsenal forward played the ball across the area for 17-year-old Lennart Karl to score from close range. It was the first goal that Arsenal had conceded in the competition this season but it did not stop them making it five wins from five. England winger Madueke put the Gunners in front when substitute Riccardo Calafiori fired a powerful cross into the area for him to help into the net. The Gunners then wrapped up the win when Sunday's north London derby hero Eberechi Eze clipped a pass over the defence and Gabriel Martinelli knocked the ball around goalkeeper Manuel Neuer - who was in no man's land - to hand Bayern Munich their first defeat of the season.

For the first hour, Thomas Frank's side delivered a vast improvement on the limp display that drew so much criticism after the north London derby defeat by Arsenal, but it was ultimately not enough to keep PSG at bay. Richarlison gave Spurs a deserved lead when he headed home from close range after 35 minutes, but PSG crucially drew level seconds before the interval when Vitinha's superb right-foot strike flew high past keeper Guglielmo Vicario. Randal Kolo Muani restored Spurs' lead five minutes after the break with a scrambled finish against his parent club, but it was the signal for PSG to deliver an irresistible spell of the sort that accounted for Manchester City, Liverpool, Aston Villa and Arsenal in last season's competition with three goals in 12 minutes. Vitinha produced another special moment, this time with his left foot, to equalise once more, then Spurs were on the ropes when Pape Matar Sarr lost possession for Fabian Ruiz to put PSG ahead for the first time just before the hour. Willian Pacho took advantage of more confusion in the Spurs defence to add PSG's fourth, before Kolo Muani gave the visitors hope with an emphatic finish after 72 minutes. PSG swiftly snuffed out any hopes of a comeback when Vitinha completed his hat-trick from the spot four minutes later after Cristian Romero's handball. The holders were reduced to 10 men in stoppage time when substitute Lucas Hernandez was sent off for a blatant elbow on Xavi Simons.

The ragged Reds, on their worst run since 1953, have now lost nine of their last 12 matches across all competitions as they were destroyed by the Dutch side at Anfield. Arne Slot's domestic troubles are well-documented, coming into this match off back-to-back defeats by a three-goal margin, but the Champions League has provided some respite for the Dutch manager and his struggling side. Three wins in four matches, including a brilliant victory over Real Madrid last time out, had put Liverpool in a strong position in the league phase. But defeat here left Slot facing serious questions about the current state of this team and just how he is going to fix it. The visitors went ahead after just six minutes, Virgil van Dijk needlessly sticking his arm in the air in an attempt to claim a foul, but instead giving away a penalty for handball, which Ivan Perisic calmly slotted home. Dominic Szoboszlai restored parity 10 minutes later when Cody Gakpo's effort was parried away by goalkeeper Matej Kovár, but landed straight at the feet of the Hungarian midfielder for a simple tap-in. In desperate need of an upturn in results, Liverpool improved as Gakpo went close, while van Dijk's header crashed against the bar. But the Dutch league leaders restored their advantage when Mauro Junior played a defence-splitting pass and Milos Kerkez could not prevent Guus Til slotting home. The home side's misery was then compounded as substitute Couhaib Driouech poked in the rebound from Ricardo Pepi's effort, sending the already-buoyant visiting supporters into raptures. The Moroccan forward then added a second in stoppage time, slotting low into the bottom corner following a swift move, sealing their first victory over an English side since beating Tottenham in the 2008 Europa League and moved up to 15th in the standings. Liverpool dropped to 13th and will need to improve quickly, but the pressure is on in a fierce battle for a top-eight place.

The English side's struggles away from home continued as their hosts came from behind thanks to two goals from the 36-year-old former Arsenal and Chelsea frontman at a febrile Stade Velodrome. The in-form Harvey Barnes gave Newcastle the dream start after opening the scoring with a clinical sixth-minute finish from inside the box. That followed a brilliant headed clearance off the line from Pierre-Emile Hojbjerg to deny Magpies defender Malick Thiaw. But the visitors - who have won just once on their travels this season - dropped off and allowed Marseille to dominate possession and create a number of opportunities for Aubameyang. Although he spurned a series of openings in the first half, the Gabon international looked more like his old self after the break. The second half had only just got under way when 17-year-old Darryl Bakola played a through-ball into the right-hand channel behind Newcastle's defence. Nick Pope, sensing Aubameyang was racing on to it, rushed off his line in an attempt to get there first, but the Newcastle goalkeeper was caught in no man's land as the forward finished superbly from a tight angle out on the right-hand side. Marseille made it two goals in four minutes when Timothy Weah darted past Tino Livramento down the right and picked out Aubameyang, who got ahead of Fabian Schar to hook the ball home at the near post. The goal sent the French side's manager Roberto de Zerbi dancing down the touchline in delight. And the former Brighton boss was punching the air at full-time as Marseille claimed their second Champions League win of the season to move up to 19th place in the standings, while Newcastle are eighth.