Their work in the transfer market has also added to the positivity around the club after German manager Juergen Klopp made some major moves that have clearly strengthened his squad.
News of all that's transpired on and off the football field
The reigning champions have won 53 and drawn 11 of those 64 games, scoring 169 goals and conceding 42 for a total of 170 points.
Barcelona coach Ronald Koeman has defended centre-back Gerard Pique's right to make comments about referees favouring Real Madrid.
'This team is really good and we have invested a lot in it. Now we have to work with that'
Images from Saturday's action in the Premier League.
The gifted 23-year-old attacking midfielder is moving to Anfield from Germany's Hoffenheim, where he played since 2010, scoring 47 goals in 151 appearances.
Aston Villa returned to winning ways in stunning fashion as Ollie Watkins scored twice in a 3-0 away thumping of an abject Arsenal in drizzly north London on Sunday.
An extra-time goal from Roberto Firmino gave Liverpool a 1-0 victory over Brazil's Flamengo to win the Club World Cup at the Khalifa International stadium on Saturday. It is the first time Liverpool have won the competition, which features each continent's champions, and they became only the second English team to lift the trophy after Manchester United in 2008.
'It's just a big job to do. We wanted to go as far as possible so it was clear at one stage we would face the best teams in the world. City are a special team, one of the best, if not the best team in Europe and they are deserved champions of the Premier League. But it's not about yesterday, it's about tomorrow'
Van Dijk was substituted early in the game when Everton goalkeeper Jordan Pickford made a reckless challenge in the box, which left Liverpool manager Juergen Klopp fuming.
Liverpool suffered a shock 2-1 loss to Championship side Wolverhampton Wanderers in the FA Cup fourth round on Saturday, handing manager Juergen Klopp a third home defeat in a row.
Images from the EPL matches played on Saturday
News of all that's transpired on and off the football field
European champions Liverpool made an emphatic start to the new Premier League season by scoring three times in the opening half an hour as they taught promoted Norwich City a harsh lesson with a 4-1 thrashing at Anfield on Friday.
Out-of-favour Liverpool striker Mario Balotelli will receive a six-figure loyalty bonus if he is still at the club when the transfer window closes on September 1, according to British media reports.
It was not so much the maths, though Liverpool's nine-point advantage over defending champions City, with one point less over Leicester City and Chelsea, is a significant gap, especially as Juergen Klopp's side have lost one league game in 18 months.
Joe Maguire was found guilty of repeated bodily harm, violence against public employees and attempted bribery. Sharman was found guilty of insult, repeated bodily harm and violence against public employees.
Salah back in Liverpool squad but may not be risked at Genk, says Klopp
"We want to get back the trust and confidence in our own skills, in our quality. That needs time," he told reporters.
Diogo Jota and Joao Felix both scored their first international goals in the second half before Bruno Petkovic pulled one back and Andre Silva then added a fourth.
Liverpool's defence of a Premier League crown won at a canter last season has become a nightmare
Messi, whose deal expires in 2021, had called his side "weak" and "inconsistent" after they lost the league title to Real Madrid.
Five talking-points from the Premier League weekend after Manchester United extended their winning run against Tottenham Hotspur, Liverpool were made to work hard for their win at Brighton & Hove Albion and Arsenal losing at West Ham United.
IMAGES from the Champions League 2nd semi-final first leg match between Barcelona and Liverpool at Nou Camp on Wednesday
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.
Tottenham Hotspur climbed to third with a 3-1 win over Southampton while Chelsea hung on to fourth spot, above Arsenal on goal difference, despite a 2-1 defeat at Wolverhampton Wanderers.
News of all that transpired on and off the football field.
Premier League champions Chelsea eased past a disappointing Everton with goals from Spaniards Cesc Fabregas and Alvaro Morata sealing a 2-0 victory on Sunday.
News of all that's transpired on and off the football field
Liverpool thrashed Atalanta 5-0, Real Madrid boosted their chances of reaching the Champions League knockout stages with a 3-2 home victory over Inter Milan and Bayern Munich came from behind to crush RB Salzburg 6-2.
News of all that's transpired on and off the football field
Summary of all that transpired on and off the football field
Ibrahimovic was forced off with a muscle problem with 11 minutes remaining, and the Swede was pictured sitting on the bench with an ice pack strapped to the back of his left leg.
News of all that's transpired on and off the football field.
Of the 220 players who started for Premier League clubs at the weekend, only 73, or 33.2 per cent, were eligible to play for England.
Determined defending and unstinting effort kept the League Two team in the game against opponents lying second in the Premier League, almost 70 places above them.
Images from the Champions League matches played on Tuesday
A summary of Thursday's Euro 2020 qualifying matches.
Liverpool had to be satisfied with a 1-1 Premier League draw at Arsenal on Saturday as their usually prolific attacking trio were well shackled by their improving hosts.