Salah's sublime second-half strike leaves Liverpool on 67 points, three ahead of second-placed Arsenal and four ahead of City on a pivotal day in the title race.
Goals from Freddie Hinds, Bobby Reid and Niclas Eliasson put the visitors through to the third round. Watford finished with 10 men after Jose Holebas was sent off.
Liverpool will take on LASK, Union Saint-Gilloise and Toulouse in the Europa League group stage while debutants Brighton & Hove Albion will face Ajax Amsterdam and Olympique de Marseille following the draw on Friday.
Five images from last week's action in Europe for you to savour.
IMAGES from the English Premier League matches played on Tuesday.
Brazil, who are fifth in the CONMEBOL table with 18 points from 12 games, host Colombia on March 21 and visit Argentina five days later in a match that could see Neymar come up against former Barcelona and Paris St Germain teammate Lionel Messi.
Manchester City moved four points clear of Arsenal atop the Premier League table with an 11th consecutive victory.
IMAGES from the Premier League matches played in England on Sunday.
Luton Town knocked out Everton and sixth tier Maidstone United upset Championship Ipswich Town
Potter joins Chelsea a day after they sacked Tuchel, with the team sixth in the league on 10 points after six matches.
'He is a fantastic football player, he proved it so many times, but you can always be judged on what you are now, what you are presenting now, performing now.'
Two goals from Eden Hazard helped Chelsea cruise to a 4-0 victory at Brighton & Hove Albion in the English Premier League on Saturday for their first league win of 2018.
Images from Saturday's FA Cup quarter-finals.
Round-up of matches from the opening weekend of the English Premier League 2024-25
City were due to open their season against Aston Villa and United against Burnley but those games will be moved.
IMAGES from the Premier League matches played on Sunday
An early penalty by Alexis Mac Allister and a Darwin Nunez brace helped Liverpool to thrash Sparta Prague 5-1.
Erik ten Hag's side, featuring several players who played in the World Cup in Qatar, could have doubled their lead when Anthony Martial's shot was well saved by Burnley goalkeeper Bailey Peacock-Farrell.
Addo joins Roberto Martinez (Belgium), Carlos Queiroz (Iran) and Gerardo Martino (Mexico) as coaches who immediately left their jobs after World Cup elimination this week.
Fulham's home game against Brighton & Hove Albion on Wednesday has also been pushed behind closed doors, while West Ham United too will host Crystal Palace without spectators on the same day.
It is the first time since 1989-90 that Manchester United have lost 10 of their first 22 games of the league season.
Qatar's Akram Afif has been named the Asian Football Confederation's Player of the Year for a second time with Kiko Seike from Japan securing the women's title at the regional body's annual awards ceremony in Seoul on Tuesday.
Tottenham Hotspur hammered 10-man Aston Villa 4-0 in the Premier League on Sunday thanks to four second-half goals, allowing them to close the gap with their Birmingham rivals to two points in the chase for Champions League football next season.
Images from the English Premier League matches played on Sunday
IMAGES from EPL matches played on Saturday.
Images from the English Premier League matches played on Saturday.
A round-up of Saturday's action in the Premier League.
Images from the English Premier League matches played on Saturday
Solskjaer said he showed faith in his young strikers after allowing Romelu Lukaku to join Inter Milan in August.
Welbeck extra-time winner sends Brighton into quarters
Liverpool and Manchester United's globe-trotting squads must shake off the effects of international duty for one of English football's most eagerly-anticipated clashes on Saturday.
IMAGES from the Premier League matches played on Wednesday.
A round-up of Tuesday's action in the Premier League.
A summary of Sunday's action in the Premier League.
A summary of Saturday's action in the English Premier League.
IMAGES from the Premier League matches played on Saturday.
Champions Manchester City's 12-match winning streak in the Premier League came to an end as Julio Enciso's stunner earned sixth-placed Brighton and Hove Albion a 1-1 draw.
IMAGES from the English Premier League matches played on Wednesday.
Substitute Gabriel Martinelli fired a last-gasp winner to earn Arsenal a 1-0 victory over Manchester City on Sunday.
Liverpool reclaimed top spot in the Premier League with a 3-1 win over Burnley at Anfield on Saturday, but they were made to battle hard by a brave visiting side.
