Liverpool belatedly kick-started their year and damaged Tottenham Hotspur's slender Premier League title hopes as Sadio Mane struck both goals in a 2-0 victory at Anfield.
The two previous meetings at Anfield ended in 4-0 and 3-1 defeats for Arsene Wenger's Arsenal teams, but there is a fresh optimism around the club after a successful transfer window.
Karius's manager Juergen Klopp said the keeper will be backed by the club.
A summary of Saturday's action in the English Premier League.
The resumption of the German Bundesliga next weekend amid the COVID-19 crisis will give hope to other European leagues that they can also successfully return, according to Schalke 04 coach David Wagner.
Leaders Manchester City kept up their unbeaten run with a 3-1 win over Bournemouth on Saturday. Manchester United salvaged a 2-2 draw at Southampton, who sacked manager Mark Hughes on Monday.
Saturday's clash between Manchester United and Tottenham Hotspur at Old Trafford is already shaping up as an early-season eliminator to challenge runaway leaders Manchester City for the Premier League title.
News of all that's transpired on and off the football field
Photos from the English Premier League matches played on Sunday
ManchesterCity beat Liverpool 3-1 on penalties to win the League Cup after Sunday's final finished 1-1 after extra time.
Atalanta's Josip Ilicic and Robin Gosens scored quickfire second-half goals to give them a comfortable 2-0 win over a toothless Liverpool
Manchester United and Manchester City must switch their focus from the Champions League to the Premier League when they meet at Old Trafford on Sunday in a derby that Louis van Gaal says will show whether United are true title contenders.
Images from Sunday's action in the Premier League.
Keeper Simon Mignolet proved the shootout hero as Liverpool reached the League Cup final on penalties after a gripping last-four second leg tie at Anfield ended 1-1 on aggregate on Tuesday.
Virgil van Dijk made a dream start to his Anfield career, scoring the winning goal on his debut for Liverpool, as they beat city rivals Everton 2-1 in a pulsating FA Cup third round tie on Friday.
Leicester City said they had a request to postpone Thursday's game against Tottenham Hotspur rejected by the league.
Germany midfielder Marco Reus scored one goal and set up another in three minutes as Borussia Dortmund survived a late comeback to beat Augsburg 3-2 on Friday and bounce back from an opening Bundesliga defeat last week.
The following are talking points from the weekend's Premier League action:
Two goals each for Roberto Firmino and Sadio Mane helped Liverpool to keep in touch with Premier League leaders Manchester City with a 4-2 win over lowly Burnley at Anfield on Sunday.
Liverpool cranked up the pressure on West Ham United manager Slaven Bilic with a 4-1 victory at the London Stadium, while Burnley's remarkable start to the Premier League season continued thanks to a 1-0 victory at Southampton on Saturday.
Images from the English Premier League matches played on Saturday
Joint-leaders Tottenham Hotspur and Liverpool both dropped points on a busy day of English Premier League action as Leicester City and Southampton narrowed the gap in what is shaping up to be one of the most open title races for years.
IMAGES from the EPL matches played on Saturday.
Chelsea moved into the Premier League's top four as Mason Mount's superb first-half goal earned them a 1-0 win at champions Liverpool who suffered a club-record fifth straight home league defeat on Thursday.
News of all that's transpired on and off the football field.
Angelo Ogbonna leapt high to power home a header in the dying seconds of extra time to claim a timely first goal for the club as West Ham United sank Liverpool 2-1 on Tuesday to reach the last 16 of the FA Cup.
News of all that's transpired on and off the football field.
Premier League title race looks poised to be one of the most thrilling in years.
Images from the English Premier League matches played on Saturday.
Diogo Jota and Mohamed Salah were on target as Liverpool edged Premier League strugglers Nottingham Forest 3-2.
'A new caretaker manager will be appointed until the end of the current season, while the club conducts a thorough recruitment process for a new, full-time manager'
News of all that's transpired on and off the football field
The German was clearly swept up in the emotion at the end of the game as a delirious Anfield crowd sang the club's anthem "You'll never walk alone" with the players lined up in front of the Kop.
Champions Liverpool suffered a shock 1-0 defeat to lowly Burnley on Thursday, ending their 68 match unbeaten home record in the Premier League as their title defence continued to fade.
A round-up of Saturday's matches in the English Premier League.
IMAGES from the Champions League 2nd semi-final first leg match between Barcelona and Liverpool at Nou Camp on Wednesday
Depleted Borussia Dortmund shrugged off the absence of more than half a dozen starting players to ease into the German Cup quarter-finals with a comfortable 2-0 win at third-tier Saarbruecken on Tuesday.
Brief reports of English Premier League matches on Saturday:
Seven-times champions AC Milan, knocked out of the Champions League by Barcelona in the last two seasons, were drawn against the Catalans again in the group stage of this season's competition on Friday.