Mohamed Salah condemned Manchester City to a first Premier League defeat of the season as Liverpool took all three points in a brilliant game at Anfield.
A long ball from Alisson was latched onto by Salah before he fired past Ederson to earn Liverpool just their third league win of the campaign.
Chelsea beat struggling Aston Villa 2-0 and Arsenal secured a 1-0 victory over Leeds United at Elland Road, while Manchester United and Newcastle United played out a hard-fought goalless draw at Old Trafford.
Here, Stats Perform picks out the best facts from the day's Premier League action.
Liverpool 1-0 Manchester City: Salah maintains Reds' unbeaten Anfield record
Liverpool's impressive home form continued as they made it 28 Premier League matches unbeaten at Anfield (21 victories, seven draws) with a win over the champions.
Salah's strike makes it 14 goal involvements for him against City in all competitions, more than against any other opponent, while he is the second player to score in four consecutive Premier League home appearances against the Citizens, after Jimmy Floyd Hasselbaink between 2000 and 2004.
Alisson has now assisted Salah three times in the Premier League, more than any other goalkeeper-outfield player combination in competition history.
The defeat for City means Pep Guardiola has now lost 11 games against Jurgen Klopp, at least four more than against any other coach.
Aston Villa 0-2 Chelsea: Mount double adds to Gerrard pressure
Steven Gerrard's job security was already coming into question before Graham Potter's Blues took victory at Villa Park on Sunday with two Mason Mount goals and an impressive display from goalkeeper Kepa Arrizabalaga.
Since Gerrard took over as Villa head coach in November 2021, only Watford (12) and Norwich (nine) have lost more home Premier League games than the Villans (eight).
Chelsea were fired to victory by Mount, who scored his 25th and 26th Premier League goals for the Blues, becoming the second-youngest player to reach the 25-goal landmark for the club (23y 279d), after Eden Hazard (23y 271d).
Potter's impressive start to life as Chelsea boss continues with his fifth win in six games since taking over (one draw). Those five victories have come in the last five matches, the joint-longest winning run of Potter's managerial career.
7 - Kepa Arrizabalaga made seven saves while keeping a clean sheet against Aston Villa, his most saves without conceding in his top-flight league career. The Spaniard was expected to concede at least two goals based on the placement of the on-target shots he faced. Rejuvenated. pic.twitter.com/RPJNZeqImR
— OptaJoe (@OptaJoe) October 16, 2022Leeds United 0-1 Arsenal: Saka strikes again as Gunners continue strong start
Bukayo Saka's 35th-minute goal at Elland Road was enough for Arsenal to record a ninth win in their opening 10 Premier League games, the first time in their history they have managed this in a top-flight campaign.
Arsenal were forced to ride their luck in the second half though, as Patrick Bamford put a penalty wide for Leeds with their first missed spot-kick in the Premier League since Alan Smith was denied by Brad Friedel against Blackburn in 2002.
The Gunners failed to register a second-half shot on target, while they failed to score after half-time in the Premier League for the first time this season.
Another defeat for Leeds means they are now winless in six Premier League games, losing four of these while drawing the other two as they remain without a top-flight win since August.
Manchester United 0-0 Newcastle United: Red Devils lacklustre in home draw
Manchester United were held by a Newcastle side who may feel disappointed not to have earned victory, having twice struck the woodwork through Joelinton.
The Red Devils went close on a couple of occasions late on but could not prevent the match finishing goalless, United's 76th Premier League game ending in a 0-0 scoreline and their 31st since Alex Ferguson retired in 2013.
Newcastle picked up a point at a stadium where they have struggled in the past, with their 3.6 per cent Premier League win rate (one win in 28 games) at Old Trafford their joint-lowest at any ground where they have played 10 or more times in the competition.
The visitors could have had all three points after an impressive first-half display, but their inability to find a decisive goal means they have now drawn six Premier League games this season, two more than any other side.
Two players with reason to be pleased were the goalkeepers, with David de Gea earning a shutout in his 500th Premier League appearance for United while Nick Pope enjoyed his 50th clean sheet in the top flight, with no English stopper keeping more since Pope's debut in the competition in September 2017 (level with Jordan Pickford).
Martino resigns as Inter Miami coach after early playoff exit
Gerardo Martino has resigned as Inter Miami's head coach due to personal reasons, the MLS side have confirmed.
The Argentine ends his 17-month stint in charge of the Herons following their MLS Cup exit just under a fortnight ago.
Martino, who oversaw Miami's Leagues Cup triumph soon after his arrival last season, guided the franchise to this year's Supporters' Shield with a regular-season record tally of 74 points.
However, they were eliminated by his former side Atlanta United in round one of the MLS Cup playoffs.
Miami opened their best-of-three series against Atlanta with a 2-1 win, only to lose by the same scoreline in Game 2 before falling to a dramatic 3-2 defeat in the decider.
“It has been an honour to work at such a special club, and to lead such a special team," Martino said.
"I’ve enjoyed my stay at Inter Miami and will treasure the memories made and relationships forged here for the rest of my life.
"I depart with nothing but gratitude for my time here and would like to offer sincere thanks to everyone that made it possible."
Fonseca: Milan have 'respect' but 'are not afraid' of Juventus
Paulo Fonseca said Milan have plenty of "respect" for Juventus, but his side "are not afraid" of their rivals ahead of their Serie A clash on Saturday.
After a slow start to the season, Milan are six points adrift of Juventus in the table, but only a place behind them, as they aim to make up the ground on the top six.
The Rossoneri have played a game less than Thiago Motta's side, and could catapult themselves back into the Scudetto picture with a win this weekend.
Milan return to the San Siro for the first time since a 2-0 defeat to Napoli at the end of October, and could register two consecutive home defeats in Serie A for the first time since between October and November in 2023.
"It is not decisive, but it is important, like all of them," Fonseca told reporters ahead of Saturday's game.
"I can't say that the game against Juve is more important than the next one against Empoli because we need consecutive victories.
"It's a different game, but I always think positively. We are Milan, we have a lot of respect for the 'Bianconeri', but we are not afraid. We are here ready to win."
A boost for Milan is that Juventus will be without top scorer Dusan Vlahovic for Saturday's clash after returning from international duty with a muscle problem.
Despite the Serbian's absence, Fonseca was aware of the danger his probable replacement, Timothy Weah, would pose, having managed him during his time at Lille.
"Juve knows how to adapt very well. I don't know if Weah will play," Fonseca said.
"Weah is very fast and attacks deep, not like Vlahovic. It will not be the same thing of course.
"We will have to pay attention to movements in depth and less to support work, because he is a player who does less of this job."
While Fonseca has endured a stuttering start to his tenure at the San Siro, Milan have shown they have the ability to match the very best.
They beat rivals Inter in October before stunning Real Madrid at the Bernabeu in their last Champions League encounter, keeping their play-off hopes alive.
"I believe it's a matter of motivation and not pressure," Fonseca said.
"Against Inter, Juve and Real it is easy to be motivated, it's more difficult to go to Cagliari and have the same motivation.
"Pressure is always with us, every day. If we don't want to have pressure, then we shouldn't be here."
'Right guy at the right time' - Amorim confident of changing Man Utd's fortunes
Ruben Amorim believes he is the "right guy at the right time" to turn Manchester United's fortunes around.
The 39-year-old signed a two-and-a-half-year deal earlier this month to keep him at Old Trafford until June 2027, replacing Erik ten Hag after he was sacked in October.
Amorim is the sixth permanent United manager since Alex Ferguson retired in 2013, having left Sporting CP to take charge during the international break.
He won two Primeira Liga titles as Sporting head coach as well as two Taca da Liga trophies, while he led the club to a perfect start in the league this season, winning all 11 of their games.
United sit 13th in the Premier League table ahead of their trip to Ipswich Town on 15 points, though they are just four points behind Chelsea in third.
Amorim recognised the size of the task ahead of him in Manchester but is confident he can make a change.
"I'm a little bit of a dreamer and I believe in myself, and I believe in the club," he said during his first press conference.
"I think we have the same idea, the same mindset and that can help.
"I truly believe in the players; I know you don't believe a lot, but I do. I want to try new things. You guys don't think it's possible, I do.
"Call me naive, but I believe I am the right guy at the right time. I truly believe I am the right guy."
Aged 39 years and 302 days, Amorim will be the youngest to take charge of his first match for the Red Devils since Wilf McGuinness in August 1969 (31y 288d).
United have won just four of their 11 league games so far this season, and have struggled in front of goal, netting just 12 times so far.
Expected to implement his favoured 3-4-3 formation, Amorim admitted it would take time for the club to adapt and has asked for patience as the players get used to his tactics.
"I know at Manchester United we have to win games. We need a lot of time because it's a tough league, we have to improve a lot to try to win the title," he added.
"We have to change the physical aspect of the team. I don't know how long it will take."
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