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.
Bayer Leverkusen are the first team in the history of the Bundesliga to complete a full season without a loss.
Ivan Toney, once Brentford's lynchpin in attack, has moved to Al-Ahli for 40 million pounds ($52.50 million).
AS Roma took a big step forward in their drive for a surprise Serie A title on Sunday when they beat relegation-threatened visitors Atalanta 2-1 to take the top spot from champions Inter Milan.
AC Milan were booed off the pitch after suffering a shock 1-0 home defeat by Atalanta in Serie A on Saturday following a second-half Luca Cigarini strike that stunned the San Siro.
Real Madrid manager Carlo Ancelotti said on Saturday he is happy with how new signing Kylian Mbappe is settling into life with the Spanish soccer giants and he has no concerns about his team's slow start to the LaLiga season.
Summary of the Europa League semi-final matches played on Thursday.
Bayer Leverkusen crushed hosts VfL Bochum 5-0 to stretch their remarkable unbeaten run across all competitions this season to 50 consecutive matches.
Allegri was sent off towards the end of the game for his fierce protests over refereeing decisions.
All the action from La Liga and Serie A matches played on Monday
IMAGES from the Champions League matches played on Tuesday.
Real Madrid have avoided defeat in their last 41 LaLiga games, the second best streak by a team in the competition's history.
Second-half strikes by Federico Valverde, Brahim Diaz and Endrick gave feeble Real Madrid an unconvincing 3-0 win over lowly Real Valladolid.
Barcelona top the LaLiga standings with 15 points, four ahead of Real Madrid and Villarreal. Girona are seventh on seven points.
Koopmeiners leads Atalanta past Milan into Coppa semis
Argentina have called up Mallorca's Spanish defender Pablo Maffeo for the first time ahead of this month's World Cup qualifiers against Uruguay and Brazil in the squad announced by its FA on Friday.
Two goals from Luis Diaz and one from Mohamed Salah helped Liverpool stroll to a 3-0 victory at Manchester United.
Liverpool hammered Sparta Prague 6-1 on Thursday to storm into the Europa League quarter-finals 11-2 on aggregate.
A summary of the concluding day's action in the German Cup, French Cup and La Liga.
IMAGES from the soccer matches played across leagues on Friday
Arsenal's title hopes hit with 2-0 loss to Villa as Man City get boost
Champions Real Madrid earned a 2-0 win in a feisty LaLiga encounter at Athletic Bilbao on Sunday to ensure they stayed in the hunt for the LaLiga title with leaders Barcelona.
Germany expects 2.7 million people to attend matches in stadiums across the country and some 12 million in its fan zones for outdoor viewing, including on a long stretch of turf laid out in front of Berlin's Brandenburg Gate.
An early penalty by Alexis Mac Allister and a Darwin Nunez brace helped Liverpool to thrash Sparta Prague 5-1.
The home side knew only victory would do for them to grab the final last-16 qualification spot in the group behind Manchester United, and came out for the second half in all-out-attack mode.
A summary of the concluding day's action in the Bundesliga, Serie A, Ligue 1 and Saudi Pro League.
Photos from soccer matches played across top European Leagues on Saturday.
Atletico Madrid secured a hard-fought 2-1 home victory over Real Betis in La Liga on Sunday thanks to an own-goal by Rui Silva and a header by Alvaro Morata as Diego Simeone's side ended a three-game winless run in all competitions.
Off the field, issues have also arisen involving players such as Mason Greenwood, Antony, and Jadon Sancho. Ten Hag, however, emphasized the importance of unity during trying times, stating, "It's my second year. I know it's not always only going up, you will have your gaps and you get stronger from it as long as you stay together, and that's what we're doing. The dressing room, staff, all the staff, coaches, medical, everyone is united and at United you fight."
Rennes denied late Europa League equaliser due to little-known rule
Barcelona wasted a golden opportunity to extend their lead at the top of LaLiga as they were shocked 1-0 at lowly Almeria on Sunday thanks to a first-half strike by El Bilal Toure.
Liverpool overcame an early scare and came from a goal down to claim a 3-1 win at Austria's LASK Linz.
IMAGES from the Europa League matches played on Thursday.
IMAGES from the football matches played across Europe on Sunday.
Barcelona will face a struggling Galatasaray team who are 13th in the Turkish top-flight.
Barcelona were held to a 0-0 home draw by Galatasaray in the first leg of their Europa League last-16 tie
Mbappe becomes PSG's all-time highest goal-scorer as French champions extend lead
IMAGES from the football matches played across Europe on Sunday.
Real Sociedad will join Atletico Madrid, Real Madrid, and LaLiga champions Barcelona in Europe's elite club competition next season.
Barcelona were drawn in Group E with Bayern Munich, Benfica and Dynamo Kyiv.