Arsenal started the season strongly with a six-game winning streak that lifted them to second position in the league but have since faded and are seven points behind fourth-placed City with just two wins in their last six league games.
Arsenal had to come from behind after Sergio Aguero scored his 30th goal of the season for City in the 63rd minute, racing away on to a pass from Yaya Toure.
Spain will beat Russia in Sunday's World Cup last 16 match in Moscow -- at least if you believe Harry, the so-called 'oracle' otter in Sochi who has so far correctly forecast the hosts' two victories and one defeat at the tournament.
Two goals from Alexis Sanchez and another from Theo Walcott ended Bournemouth's brave resistance at the Emirates stadium as Arsenal won 3-1 to stay in touch with the Premier League leaders on Sunday.
Arsenal have only lost six times to Tottenham Hotspur in 43 matches since Arsene Wenger became their manager nearly 18 years ago, but the Frenchman is taking nothing for granted before the first north London derby of the season on Saturday.
With less than a month of the Premier League season left it remains Chelsea's title to lose but Tottenham Hotspur defiantly stayed in contention by grinding out a 1-0 victory at Crystal Palace on Wednesday.
Real Sociedad are fourth in the table on 28 points, three points behind third-placed Sevilla.
The 27-year-old Belgium international had joined City squad last week after helping his country progress to the World Cup semi-finals in Russia.
Arsenal's hopes of catching Manchester City for second place in the Premier League suffered a setback.
The north London outfit were brushed aside by a dominant City side in last Sunday's League Cup final with Pep Guardiola's team converting all three of their shots on target to win 3-0 while Arsenal failed to convert either of their chances.
Arsenal will reportedly play Chelsea in a fourth-round Capital One Cup match after winning 4-3 on penalties against West Bromwich Albion on Wednesday at The Hawthorns.
Arsenal goalkeeper Petr Cech has given an insight to the multinational shape of the modern Premier League by revealing he speaks to his defenders during matches in three languages.
Lionel Messi kept his nerve from the penalty spot to give Barcelona a 1-0 win over Real Sociedad in La Liga on Saturday and return his side to the top of the table.
'No problem with the player. It isn't true, that information'
Arsenal kept alive their slim hopes of securing a Champions League spot next season with a 2-1 Premier League victory at Middlesbrough on Monday that left the hosts in deep danger of relegation.
Romelu Lukaku struck twice as Manchester United returned to winning ways after two successive Premier League losses with a 2-0 victory over Burnley at Turf Moor on Sunday.
Arsenal manager Arsene Wenger has risked angering frustrated fans by saying the under-performing London club do not need any January signings if everyone in the current squad stays fit.
Arsenal coach Arsene Wenger will be without right back Mathieu Debuchy for a "longer period" of time and is struggling with defensive options for their Champions League group opener against Dortmund.
Olivier Giroud scored the decisive spot kick as Arsenal beat Chelsea 4-1 in a penalty shootout to win the Community Shield at Wembley on Sunday.
Striker Mariano's header was glanced onto the crossbar by Sociedad's Andoni Gorosabel while the loose ball fell to Marco Asensio, whose shot was deflected wide for a corner from which Raphael Varane header hit the top of the bar.
Napoli went down 3-1 at home to RB Leipzig, Arsenal and AC Milan enjoyed comfortable away wins, and Borussia Dortmund's Michy Batshuayi scored twice to secure a 3-2 victory in Europa League last 32, first leg action
A summary of Sunday's Premier League matches.
Wenger dropped Rob Holding for the visit to Stoke, preferring Shkodran Mustafi alongside Nacho Monreal and Sead Kolasinac at the back.
Barcelona will put Manchester City to the sword if they commit the same kind of errors as they did in their Champions League encounter last month, coach Luis Enrique said.
Sergio Aguero's hat-trick led Manchester City to a 3-1 win over Arsenal on Sunday and back into second place in the English Premier League, two points behind leaders Liverpool.
Lopetegui blends youth and experience in Spain World Cup squad
Images from the English Premier League match played between Arsenal and Crystal Palace on Monday
A late goal by substitute Charlie Austin gave relegation-threatened Southampton a thrilling 3-2 victory over Arsenal on Sunday in new Austrian manager Ralph Hasenhuettl's first home game.
Arsenal fought back from a goal down against old foes Chelsea to reach the League Cup final as Granit Xhaka poked home to complete a 2-1 second-leg win on Wednesday that set up a Wembley showdown with Manchester City.
Photos from the English Premier League match played between Manchester United and Arsenal on Saturday
Danny Welbeck, making his first appearance of the season as a late substitute, headed a stoppage-time winner to give Arsenal a 2-1 home win over league leaders Leicester City in the Premier League on Sunday.
IMAGES from the Europa League matches played on Thursday
Arsenal named a strong side captained by Mesut Ozil while Real had Bale on the bench and Eden Hazard, wearing the number 50 shirt, starting alongside fellow new signing Luka Jovic in attack.
Images from the English Premier League matches played on Sunday
Tottenham Hotspur claimed a first victory at Chelsea for 28 years with Dele Alli scoring twice in the second half as they came back to win 3-1 and cement fourth place in the Premier League on Sunday.
Steve Finn helped England dominate Australia in another Ashes Test at Edgbaston on Friday to take a 2-1 series lead. A day later, there were celebrations across China as Beijing won the rights to host the 2022 Winter Olympics. And, on Sunday, Premier League club Arsenal finally won bragging rights after beating Chelsea 1-0 to clinch the Community Shield to kick-start their season on a positive note. Rediff.com has all this and a lot more action from the week gone by, snapped right here!
Arsenal must not rest on their laurels after successive FA Cup victories and instead use one of the side's 'best squads' to inspire them to Premier League glory next season.
Images from the English Premier League matches played on Sunday
Discarded striker Danny Welbeck returned to demolish Manchester United's hopes of silverware by netting the winner in Arsenal's 2-1 FA Cup quarter-final victory at Old Trafford on Monday.
IMAGES from the English Premier League matches played on Sunday