Mohamed Salah's early penalty in the return match on Thursday gave Liverpool a 1-0 victory in Italy but Klopp's side went out 3-1 on aggregate.
Young becomes oldest Everton scorer in rout of Wolves
Liverpool's Slot not nervous ahead of Anfield debut
With Manchester City mired in a six-game winless slump and facing one of their biggest challenges this season at Liverpool this weekend, manager Pep Guardiola said the onus was on him to prove he can right the ship.
In a thriller at Anfield, a weakened Liverpool side came back from the brink to beat Leicester City on penalties after a 3-3 draw, setting up a semi-final against Arsenal.
The Gunners' only league defeat of the campaign was in September away to one of England's traditional top-six clubs, Manchester United, drawing criticism that their strong start to the season was based on wins against lesser opposition.
IMAGES from the English Premier League matches played on Saturday.
Liverpool and Manchester City having the potential to "dominate" European football, former Scotland international Graeme Souness has said.
Arsenal were held to a 1-1 Premier League draw by London rivals Fulham on a grey wet Sunday at Craven Cottage as Raul Jimenez scored early for the hosts and William Saliba equalised for the visitors at the start of the second half.
Juergen Klopp's side will meet the winners of Sunday's other semi-final between Chelsea and Crystal Palace in the May 14th final
Liverpool could be crowned champions of England for the first time in 30 years, on Wednesday, having turned the Premier League title race into a procession.
Liverpool's 2-0 victory at Cardiff City on Sunday restored their two-point lead over champions Manchester City, who have played a game less.
A round-up of Wednesday's action in the UEFA Champions League.
Vinicius Jr's remarkable performances at Real Madrid have put the 24-year-old forward as the odds-on favourite to claim his first Ballon d'Or when the award for the best player in the world is announced in Paris on Monday.
Chelsea have been charged with two counts of disorderly conduct during their ill-tempered 1-1 draw against Liverpool at the weekend, the Football Association said on Wednesday.
Holders Liverpool survived a penalty shootout to see off third-tier Derby County
Images from the English Premier League matches played on Saturday.
A round-up of Wednesday's action in the UEFA Champions League.
IMAGES from the English Premier League matches played on Tuesday.
Premier League rejected Chelsea request to postpone Wolves game, says Tuchel.
A round-up of Saturday's action in the Premier League.
Another Liverpool great, Graeme Souness, said Klopp had produced a "fabulous" side.
The win moved Juergen Klopp's side above Chelsea in the table and 11 points behind leaders Manchester City with a game in hand.
IMAGES from the Premier League matches played on Saturday.
Fabinho's first-half goal earned Liverpool a 1-0 win at Burnley
Spurs Premier League match at Brighton postponed due to COVID-19
Manchester City have now won only once in 11 games in all competitions.
Luton pulled one back on the half-hour mark when Chelsea keeper Kepa Arrizabalaga failed to keep out Jordan Clark's low effort which squeezed between his hand and leg into the net.
Hazard extra-time goal sends 10-man Real Madrid through to Copa del Rey final.
Mohamed Salah's 100th Premier League goal helped Liverpool cruise to a 3-0 victory at 10-man Leeds United on Sunday in a match that was marred by a nasty injury to teenager Harvey Elliott.
Magnificent Martinez helps Inter defeat Sparta Prague 1-0
Liverpool lost the plot in Atalanta defeat, says Klopp
Liverpool's Trent Alexander-Arnold scored with a spectacular strike as they overcame the loss of three players to suspected positive COVID-19 tests and conceding an early goal to beat Newcastle United 3-1 in the Premier League on Thursday.
Captain Jose Maria Gimenez said the players were trying to defend their families.
An 87th-minute header from defender Diego Llorente gave Leeds United a 1-1 home draw with Liverpool in the Premier League on Monday after the home side staged a protest against the breakaway Super League prior to the kickoff.
Liverpool frustrated by 10-man Arsenal in League Cup semi stalemate
Indian club East Bengal produced an utterly dominant show to crush Bangladesh's Bashundhara Kings 4-0 in their AFC Challenge League match in Thimphu on Tuesday.
Arsenal became the highest-profile casualties of the FA Cup third round as the 14-time winners lost 1-0 at Nottingham Forest, but Liverpool and Tottenham Hotspur avoided early exits after scares against lower-league sides on Sunday.
Erik ten Hag's side will face Championship (second-tier) outfit Coventry City in the semis after they upset Wolverhampton Wanderers 3-2 on Saturday.
Images from Sunday's action in LaLiga and Serie A.