Manchester United manager Alex Ferguson stuck the boot into Manchester City ahead of their derby clash at Old Trafford on Sunday by insisting that Liverpool will always be United's biggest rivals.
Arsenal thrashed Middlesbrough 7-0, while Manchester United lost 3-1 at Manchester City in the Premier League.
Arsenal will not sell striker Olivier Giroud, midfielder Jack Wilshere and winger Theo Walcott in the January transfer window despite their lack of playing time at the Premier League club, manager Arsene Wenger has said.
Newcastle United made light work of north-east rivals Sunderland as Alexander Isak's double secured a 3-0 win and a place in the FA Cup fourth round at the Stadium of Light on Saturday.
An opening-day Premier League defeat, a growing injury list and the weight of an unspent transfer kitty hang heavily over Arsenal as they head into Wednesday's Champions League playoff clash with Fenerbahce.
Real Madrid earned their first-ever win over Liverpool with a wondrous Cristiano Ronaldo goal spearheading a 3-0 Champions League victory at Anfield on Wednesday which appeared as classy as it was dominant.
Pepe Reina produced three excellent saves to help lethargic Liverpool earn a point from a goalless and somewhat predictable Premier League draw at Birmingham City on Sunday.
Images from Saturday's action in the English Premier League.
Antonio Valencia's early thunderbolt put Manchester United en route to a 4-0 Premier League victory over Everton on Sunday, but they needed a flurry of late goals to finally subdue their unfortunate visitors.
League leaders Chelsea and Liverpool however won their matches in the Premier League.
Aaron Ramsey indulged his new goalscoring habit on his return to his boyhood club as Arsenal opened up a seven-point lead at the top of the Premier League with a 3-0 victory at Cardiff City on Saturday.
Manager Juergen Klopp's leadership is laying the foundations for "something special" at Liverpool, forward Giorginio Wijnaldum has said. Liverpool have started the new Premier League campaign with 10 points from a possible 15 after a 2-1 victory over Chelsea at Stamford Bridge on Friday. The Merseyside club, who won at Arsenal and also beat champions Leicester City 4-1, were held to a 1-1 draw by Tottenham Hotspur at White Hart Lane following their 2-0 defeat by promoted Burnley last month.
UEFA president Lennart Johansson supports the principle that a club winning the Champions League must be allowed to defend their title.
Michael Owen has stuck the boot into Arsenal's Premier League title credentials and claims record signing Mesut Ozil is too inconsistent to lead the Gunners to glory, according to reports.
Juergen Klopp returns to the scene of one his Liverpool side's most controversial victories of last season this Saturday with the man who fashioned it lining up against him.
Chelsea need to improve a lot before they could be considered Premier League title contenders, manager Antonio Conte has said after his resurgent side beat Southampton 2-0 on Sunday.
Klopp and his City counterpart Pep Guardiola were satisfied with their team's displays in a tight, tactical encounter which finished 0-0 at Anfield, but the German was clearly frustrated to now lose his players for international duty.
Arsenal's Andrei Arshavin scored four goals in a pulsating 4-4 draw at Anfield on Tuesday to put a huge dent in Liverpool's Premier League title push.
The striker picked up a hamstring injury in Tuesday's Champions League quarter-final 2-1 defeat by Chelsea.
Thierry Henry scored with a brilliant individual effort to give the English side a 1-0 victory in the first leg last 16 knock-out round.
Lukas Podolski and Olivier Giroud gave food for thought to Arsenal fans craving a new striker by scoring in a 3-1 Premier League win at Fulham on Saturday while Liverpool made it two victories from two games at Aston Villa.
Arsenal manager Arsene Wenger said he is still keen to sign Uruguayan striker Luis Suarez even though Liverpool have rejected two offers from the Gunners for him.
Chelsea lost their 100 per cent Premier League record when London rivals West Ham United held them to a 0-0 draw on Sunday.
Chelsea brought a whole new dimension to the Premier League title race when they handed Manchester City their first defeat of the season on Saturday to leave Mohamed Salah-inspired Liverpool as the new leaders.
Champions Liverpool were sent crashing out by Benfica.
Arsenal goalkeeper Petr Cech believes that the Gunners need to stop silly losses against the teams they are expected to beat if they want to progress in the Premier League.
Arsenal delivered a brutal lesson in fast-paced Premier League football to beat Liverpool 4-1 on Saturday, maintaining their faint title aspirations and almost certainly dashing their opponents' hopes of a top-four finish.
Such is the impact Sadio Mane has made on Liverpool that the 24-year-old is an automatic pick to face Tottenham Hotspur in the Premier League on Saturday while experienced international teammates scrap it out to play alongside him.
Liverpool went top of the Premier League on Monday after a goalless home draw with West Ham United.
Arsene Wenger acknowledged Southampton were the sharper team as they crushed Arsenal 4-0 on Saturday but he also blamed the defeat on bad luck.
Arsenal ended their seven match winless run in the Premier League with a surprise 3-1 London derby victory over Chelsea at the Emirates Stadium on Saturday while Manchester United were held to a 2-2 draw at Leicester City.
Two superb curling efforts from Jordan Henderson and Philippe Coutinho handed Liverpool a 2-1 home win against Manchester City in the Premier League on Sunday to deliver a thumping blow to Manuel Pellegrini's title aspirations.
While, Reds' manager Juergen Klopp is realistic about his team being league leaders, you, dear reader, can convey your opinion by casting your vote in the poll below
Liverpool captain Steven Gerrard has urged Luis Suarez to shun suitors Arsenal, saying a move to their Premier League rivals would not represent a step up for the unsettled Uruguayan.
Liverpool will cover most miles of any Premier League club in pre-season preparation.
Arsenal midfielder Aaron Ramsey scored a contender for goal of the season when he blasted home a 30-metre volley to help his team cruise past Galatasaray 4-1 to finish second in Champions League Group D.
Luis Garcia scored twice in a 3-1 victory in the second leg of the Champions League pre-quarter-finals.