Given the stakes involved, Champions League semi-finals don't tend to be fertile ground for managers to learn lessons about their teams.

But for Jurgen Klopp, Tuesday's win over Villarreal provided more than just a ticket to the showpiece fixture of Europe's premier cup competition in Paris later this month.

It also handed the German several important insights into his squad that may prove key to a quadruple bid that was extended by victory in Spain.

Klopp probably did not appreciate the start of that learning process – an unexpectedly poor first-half performance he would prefer to forget.

In possession of 'the most dangerous lead in football', it was key that the visitors did not concede an early goal that would boost the home crowd's belief. 

And yet they conspired to do exactly that, twice failing to prevent crosses before Boulaye Dia poked home to ignite El Madrigal.

That early goal set the tone for a first half that saw Liverpool harried (65.5 per cent passing accuracy) and bullied (45.6 per cent duels won) out of the game for large periods.

And so they could have no complaints over going in at half-time level on aggregate fearing that Villarreal would become only the second team to overcome a two-goal deficit in a Champions League semi-final.

Liverpool were, of course, the ones who pulled off that previous comeback, overturning Barcelona's three-goal advantage en route to winning the 2018-19 edition of the competition.

Yet, with their first-half attempts to prevent history repeating itself having failed, it seemed inevitable that changes were coming at the break.

Perhaps the only surprise was that Klopp limited himself to just one alteration, introducing Luis Diaz in place of Diogo Jota but leaving his starting midfield trio alone.

However, it was hard to argue with the results of that minor tweak: a consummate second-half performance that turned a 2-0 deficit into a 3-2 win.

That outcome is good news for Diaz, whose match-high four shots and well-taken goal underlined the brilliance of another sparkling outing.

But it might not be for Jota, who won just two of six duels and completed six of nine passes before getting the half-time hook.

There were also contrasting fortunes in midfield, where Naby Keita provided the most notable recovery from a midfield three that looked lost in the opening 45 minutes.

With Jordan Henderson going through a vigorous warm-up just after half-time, it did not look like the Guinean would last much longer.

But, as was the case with his colleagues in the engine room, he went up a level en route to posting 21 passes in the opposition half, three tackles, and 11 possession regains (more than any other player on the pitch) by full-time.

With the big games coming thick and fast in the weeks ahead, the consequences of these performances are likely to stretch beyond simply securing Liverpool's third Champions League final appearance under Klopp.

As he guides an unlikely quadruple bid towards a dramatic conclusion, the manager now has an even clearer idea of which players he can rely on to deliver on the biggest of stages.

Emma Raducanu became the third successive major winner to lose to Anhelina Kalinina as the Ukrainian reached her maiden WTA 1000 quarter-final at the Madrid Open.

Ninth-seed Raducanu was the biggest name in action on Tuesday and had been hoping to rack up three successive WTA Tour victories for the first time since her incredible US Open success in September last year.

But Kalinina, who saw off Sloane Stephens and Garbine Muguruza in her two previous matches, got the better of the Brit in an entertaining 6-2 2-6 6-4 win.

Raducanu had not dropped a set in either of her first two outings in Madrid but Kalinina quickly put an end to that.

While the teenager responded well in the second, getting an important break to make it 3-1, Kalinina rallied again in what was a closer deciding set.

The pair traded breaks and then Kalinina got another to set her en route to victory at 5-4 – she had to save one more break point but did ultimately see off Raducanu to book a clash with Jil Teichmann in the last eight.

Teichmann beat Elena Rybakina earlier in the day, dispatching the 16th seed in impressively comfortable fashion as she won 6-3 6-1.

Progression from the last eight for Teichmann will see her reach the semi-final of a WTA 1000 event for the first time.

Sara Sorribes Tormo, the last Spaniard left in the draw, defeated Daria Kasatkina 6-4 1-6 6-3 in something of a rollercoaster ride to line up a quarter-final contest with 12th seed Jessica Pegula.

The American kept her focus despite opponent Bianca Andreescu needing a medical timeout and rain causing a 30-minute halt, eventually winning 7-5 6-1.

Bournemouth have been promoted back to the Premier League thanks to their 1-0 win over fellow high-flyers Nottingham Forest on Tuesday.

In what was billed as the biggest match of the Championship season so far, Forest could have moved themselves up to second with a victory ahead of the final weekend of the campaign.

But Bournemouth, who went into the game three points clear of third-placed Forest, stole the win late on.

Philip Billing opted for a short pass into the box from his free-kick on the edge of the area in the 83rd minute, with his decision not to shoot seemingly catching Forest off guard.

Kieffer Moore was the recipient of the pass, and his controlled first-time finish found the bottom-right corner as Bournemouth secured their return to the top flight.

The Cherries were relegated from the Premier League at the end of 2019-20 and then fell short of returning at the first time of asking when losing 3-2 on aggregate to Brentford in the play-off semi-finals last season.

But Scott Parker succeeded where Jonathan Woodgate could not, with the former Chelsea midfielder ensuring Bournemouth did not need the back-up provided by the play-offs.

They join Parker's former club Fulham, who have already won the Championship title, in returning to the Premier League.

Forest will go into the play-offs with Huddersfield Town, while two of Sheffield United, Luton Town and Middlesbrough shall join them.

Liverpool overcame a spirited Villarreal performance to book their spot in the Champions League final with a 3-2 away win, netting three second-half goals after seeing their first-leg lead wiped out in Spain.

Boulaye Dia handed Unai Emery's men an early lead in front of a boisterous home crowd, before Francis Coquelin stunned the below-par visitors by wiping out their aggregate lead on the stroke of half-time.

But Liverpool grew into the game after their dismal start, and after Geronimo Rulli failed to make a routine stop from Fabinho's effort, half-time substitute Diaz headed home to send Jurgen Klopp's men to the final.

Sadio Mane raced clear to round Rulli and roll home a late third to make the result safe before Etienne Capoue was sent off late on, keeping the Reds on course to cap an incredible season by winning four major trophies.

After failing to record a single shot on target at Anfield, the Yellow Submarine needed just three minutes to open the scoring, Dia tapping home after Capoue turned Pervis Estupinan's delivery across goal.

Gerard Moreno saw a close-range header blocked as the visitors produced a dreadful first-half performance, and the Reds' advantage, which looked to be decisive prior to kick-off, was wiped out when Coquelin sparked wild scenes by heading Capoue's cross into the top-left corner.

Trent Alexander-Arnold struck the top of the crossbar with a deflected effort as Liverpool improved after the break, before Fabinho drilled a low shot through the legs of Rulli to restore the visitors' aggregate lead after 62 minutes.

Diaz went close to bending home a superb second moments later, but was on hand to nod home Alexander-Arnold's cross after 67 minutes and put the Reds back in full command of the tie.

The tie was settled once and for all when Mane took advantage of another Rulli error after 74 minutes, rounding the keeper well outside his area before rolling home to secure Liverpool's progress, with Capoue then dismissed for a second yellow card after fouling Curtis Jones.

Philadelphia 76ers head coach Doc Rivers is leaving the door open for Joel Embiid's return to the court, following Monday's series-opening defeat to the Miami Heat, but stopped short of giving "false hope".

The MVP candidate missed Philadelphia's 106-92 defeat in Game 1 against the Heat due to a right facial fracture, after he was hit by Pascal Siakam as they closed the series out against the Toronto Raptors last Thursday.

Embiid has been ruled out for Game 2 on Wednesday, with ESPN's Adrian Wojnarowski reporting he could be back as soon as Game 3 when the series switches to Philadelphia.

With that in mind, Rivers tried to temper expectations but cited progress in Embiid's recovery.

"I know he did something yesterday, but not much, and I know he's feeling a better," Rivers said on Tuesday.

"I don't want to give false hope either. So I'll just stop there."

After winning the scoring title in the regular season, Embiid averaged 26.2 points on 52 per cent shooting and 11.3 rebounds in the series against the Raptors.

San Francisco 49ers general manager John Lynch expects All-Pro wide receiver Deebo Samuel to remain with the team in 2022.

Samuel last month requested a trade from the Niners, having reportedly refused to engage in contract negotiations with San Francisco. The 2022 season will mark the final year of his rookie deal.

A trade did not materialise during last week's NFL Draft, despite reported offers from the New York Jets and Detroit Lions, and Lynch is adamant the two parties can overcome their issues as the Niners seek to sign Samuel to a long-term deal.

Lynch told KNBR: "We're trying really hard with Deebo to work through whatever the issues might be.

"I always have really believed that there is a sacredness to those conversations and that they remain private, especially with things like this.

"I think it's in everyone's best interest we don't get into that. I don't think [the obstacles] are insurmountable. I think we can find a way to resolution, and we're hopeful for that because we know what he's been to this organisation.

"Thirty-sixth pick in 2019, and he's been so good on and off the field. Obviously, a tremendous player. He makes us better. I think we make him better. And we're hopeful that we get everything right and that we're rolling forward."

Asked if Samuel will be on the roster for the 2022 season, Lynch replied: "It's a yes for me, and that's our job. He's too good of a player.

"We've got too good of a thing going, and we want to keep that going. That's where I'll leave that."

Samuel's request was reported to be tied to dissatisfaction with his role in the 49ers' offense.

In addition to making 77 catches for 1,405 yards and six touchdowns – averaging a league-leading 18.2 yards per reception – in 2021, Samuel also carried the ball 59 times for 365 yards and eight touchdowns, breaking Eric Metcalf's record (six) for most rushing touchdowns by a wide receiver in a single season, set in 1989.

Samuel labelled himself a 'wide back' when asked to define his position, and his ability to do damage out of the backfield and as a receiver proved critical in the Niners' surge to the NFC Championship Game last season.

However, Samuel is thought to want to be used less in that multi-faceted manner, seemingly wary of his career being shortened by the wear and tear that comes with being deployed as a running back.

San Francisco picked running back Tyrion Davis-Price and receiver Danny Gray in the third round of the draft, with head coach Kyle Shanahan saying that pair can help lighten Samuel's workload.

The Niners are still to find a trade partner for Jimmy Garoppolo, who was expected to be moved on to allow last year's third overall pick Trey Lance to take over as the starting quarterback.

Revealing his belief they were close to a trade before Garoppolo's shoulder surgery, Lynch added: "I felt like we were close in some [trade] discussions, and then the decision was made to have surgery. That just brought things to a screeching halt. People just don't do that [commit to a trade], even with a likelihood that everything is going to be good.

"We continue to get calls about Jimmy, and we, as a group, got together and said he's too good of a player. He's got a lot of great tape out there. You don't just let guys like that walk out the door, and we want to either want to have Jimmy playing for us, which we're all right with, or we want him to get the value. ... I think once he starts throwing, people will feel more comfortable.

"And then, obviously, you've got to let things play out for other teams. ... Jimmy's a part of us. We're excited about that. But I think we all know that Trey's going to get the opportunity to go out there and play. He's got to earn that, but we believe he's in the process of doing that.

"It wouldn't be the worst thing in the world if both of them were still here, and we move forward, and ... he is equipped to do that."

Rafael Nadal requested that his opening match at the Madrid Open does not clash with his beloved Real Madrid's Champions League semi-final against Manchester City, according to tournament director Feliciano Lopez.

Nadal, who has won the Madrid Open on five occasions, will face Serbia's Miomir Kecmanovic in the round of 32 on Wednesday, the same day Los Blancos bid to overturn a 4-3 first-leg deficit against Pep Guardiola's team at the Santiago Bernabeu.

The 21-time grand slam winner is known to be an avid supporter of Madrid and was invited to take an "honorary kick-off" before Carlo Ancelotti's team wrapped up their 35th league title with a 4-0 win over Espanyol at the weekend.

Lopez confirmed Nadal's request to Spanish radio network Cadena SER on Tuesday.

"Nadal asked us that when Madrid played the Champions League semi-finals that we not play him," Lopez said.

"He likes to play during the day, so that the ball bounces higher. There are [Spanish] tennis players who are not from Madrid. David Ferrer is not from Madrid. Tommy Robredo and Marc Lopez are from Barcelona, Sergi Bruguera is very much from Barcelona… it's very hard to be an anti-Madridista!"

Real Madrid have been eliminated from each of their previous five Champions League semi-finals when losing the first leg – however, Los Blancos have progressed from two of their last three knockout ties when losing the opening match (the 2015-16 quarter-final against Wolfsburg and this season's last-16 tie against Paris Saint-Germain).

Madrid have won the European Cup/Champions League on a record 13 occasions, also finishing as runners-up three times, and Nadal will hope to have a good view if Los Blancos seal a 17th final appearance on Wednesday.

Kevin De Bruyne says winning the Champions League would "change the perspective" through which people view Manchester City, as Pep Guardiola's team prepare to face Real Madrid in the second leg of their semi-final tie.

De Bruyne opened the scoring in City's thrilling 4-3 first-leg win over Carlo Ancelotti's team at the Etihad Stadium last week, but Karim Benzema's double means the encounter remains in the balance.

The Belgium international has won 10 domestic trophies since joining the club in 2015, though European success has so far evaded Guardiola's men, who lost last season's final to 1-0 to Chelsea.

Before travelling to the Santiago Bernabeu for Wednesday's second leg, the in-form playmaker, who has contributed 15 goals and 12 assists in all competitions this term, acknowledged a European title would alter the way the club is viewed.

"It would change the perspective," De Bruyne, who went off injured in last year's final, said at a pre-match news conference. "As a player, you want to win trophies, and we want this one.

"We have fought for it for numerous years and been to the latter stages, and we have been doing well.

"Obviously, it’s a cup competition and the quality is really high, so it's very difficult to win it and there are different circumstances, but if you look at how we have performed in the last seven years, we've done really well. If we win it, it would change the narrative."

However, De Bruyne refuted claims that the team needed to win the competition, highlighting the quality of City's competitors and saying he was happy with his own accomplishments.

"For myself. It doesn't change how I look at myself as a player. I know what I have done: good and bad in my career. I'm pretty happy with what I have done," he added.

"Obviously, I want to win every trophy but that's a hard task. I would obviously love to win the Champions League."

De Bruyne has registered 18 Champions League assists since making his first City appearance in the competition in September 2015, a tally that is only bettered by Neymar (25) and Kylian Mbappe (20) during that time.

Meanwhile, City's first-leg success over Los Blancos was only the second semi-final first leg in Champions League history to see seven goals scored (along with Liverpool 5-2 Roma in 2017-18), but the midfielder said his team would need to be at their best to make their advantage count.

"I think if we play the way we played last week, we have the potential to be one of the best teams, but we have to show that," he added. "If we play below that, Madrid can win because they are also one of the best teams, and the quality they have is amazing.

"But I back my team to perform at the high level needed to win the game. I think we are in a very good way. The fact we have not won it yet is the only criticism we can get. The rest, we have been there loads of times, fighting to win it.

"I remember when we played [against Madrid in the 2015-16 semi-finals] it wasn't the greatest end to the season. Madrid was a powerhouse at that time. We are in better shape now. I think we are a better team with a better set-up, we play better, and we have more experience. Hopefully, we are better prepared.

"It's two attacking teams who like to play football. We played a very good game [last week] but that's in the past. We have a different game ahead of us tomorrow and it starts back to 0-0 so we need our A-game to win."

City have won their last three Champions League matches against Los Blancos – only two sides have ever won four in a row against them in European competitions, with Ajax doing so between 1973 and 1995 and Bayern Munich replicating that achievement between 2000 and 2002.

Dani Alves insists "things are going to change" at Barcelona under Xavi, highlighting the way the Blaugrana had reinvented themselves in the past.

Barcelona sit a distant second in LaLiga, but despite watching rivals Real Madrid win their 35th title, can all but secure Champions League qualification by beating fifth-placed Real Betis on Saturday.

Alves announced his return to Camp Nou last November after originally departing in 2016, but had to wait until January to be eligible to play. Since then, the 38-year-old has made 10 league appearances, chipping in with one goal and two assists as Xavi looks to revive Barca's fortunes after the ill-fated tenure of predecessor Ronald Koeman.

As Barca close in on Champions League qualification, the Brazilian, who won 23 major trophies in his initial eight-year spell with the Blaugrana, insists the club will rise again, just as it did after Ronaldinho's 2003 arrival or Pep Guardiola's appointment as head coach in 2008.

"We must be united, be positive, things are going to change, as they changed when Ronaldinho arrived. Before he arrived, it seemed that things were not going [well]," Alves told the club's media channels on Tuesday.

"Afterwards, it seemed that it would not be repeated, we [Guardiola's team] arrived and what happened was historic.

"Now it seems that we are living through this moment of transition, but it will be again. We must be positive and have that faith, that desire and that illusion of things changing and it will [happen] again. 

"This club has a lot of resilience, it has had to reinvent itself several times. You have to hold on to that power that this club has to return it to where it deserves to be. It is a club made to win, to be ahead. We have to keep winning, for people to want to be like Barca."

Barcelona have won five of their last seven league games after beating Real Mallorca 2-1 on Sunday, as the Catalan giants ended a run of three consecutive defeats at Camp Nou – the joint-worst sequence in their history.

A talented crop of young talent has proven crucial to reviving Barca's fortunes over the second half of the season, with the likes of Gavi, Nico Gonzalez, Ronald Araujo, and Sergino Dest all featuring heavily for the Blaugrana this term.

Alves, who featured alongside Xavi and an array of other La Masia graduates in Guardiola's all-conquering team, says the former midfielder is the best coach those young players could ask for.

"They have one of the best people who can teach them," Alves added. "They have the best possible teacher, they have to pay attention to what he teaches them. 

They have the qualities to be top, but it is up to them to write their own story. We will help them to be at the top and make their story."

Kevin Anderson, the former world number five and two-time grand slam finalist, has retired from tennis aged 35.

The South African, who won seven ATP Tour titles, announced his decision in a Twitter post on Tuesday.

"I don't remember a time in my life when I wasn't playing tennis," Anderson wrote.

"I started on the journey 30 years ago when my Dad put a racquet in my hands and told me if I was willing to work hard, I could be one of the best players in the world.

"Since then, tennis carried me far beyond my roots in Johannesburg, South Africa and truly gave me the world.

"I've experienced so many different challenges and emotions; this sport can be exhilarating and at the same time lonely.

"I've had ups and downs, but I wouldn't change it for anything. My journey helped me become the man who I am today."

Anderson thanked his family, coaches, sponsors and fans before adding: "I am so thankful for the wonderful things that have come my way purely because I was a part of this sport.

"As a kid, my Dad used to tell me that success isn't defined by results, but by the effort and sacrifice you make along the way in becoming the best you can be.

"I gave it my best."

Anderson played the US Open final in 2017, losing in straight sets to Rafael Nadal. He ran into another of the sport's greats in the Wimbledon championship match the following year, beaten by Novak Djokovic.

Anderson's last tour title came at the Hall of Fame Open in July 2021.

Raphael Varane pledged Manchester United will improve on their disappointing season in a new era under Erik ten Hag.

Varane scored his first Red Devils goal in a 3-0 Premier League win over Brentford on Monday, but has endured a largely frustrating first season in England following his move from Real Madrid.

The 29-year-old has made 28 appearances in all competitions this season, 25 of them starts, but has been involved in just six clean sheets with United looking certain to miss out on Champions League qualification ahead of the imminent arrival of new boss Ten Hag

United have gone five years without winning a major trophy, but Varane, who featured as Madrid were humbled 4-1 by Ten Hag's Ajax team in the Champions League at the Bernabeu in March 2019, is expecting a better showing next term.

"Personally, it's been an amazing experience, the feeling of being a player at Manchester United is something special," the France centre-back told MUTV of his first campaign with the club.

"I'm always positive, I think the next season will be better.

"This season was something irregular, we will work to be ready to win trophies and do our best over the next few months."

The signing of the 2018 World Cup winner was announced on the opening day of the Premier League season, and Varane predicted he would benefit from having a full pre-season under his belt in the 2022-23 campaign.

"I hope to do a full pre-season, to be fit to help the team as much as possible. I want to do my best for this club and the fans," he added.

Varane's team-mate Cristiano Ronaldo has scored nine of United's last 12 Premier League goals after netting the team's second against the Bees, and the defender was keen to hail the 37-year-old forward.

"It's fantastic, he's a great professional, and I think his talent is amazing, if he is on the pitch he will score goals, it's crazy," Varane added.

"Even with his age, he has the hunger and with his talent he can help the team."