Ronald Koeman believes Barcelona played their best football in "years" during the opening hour of their first LaLiga game since Lionel Messi's exit as they saw off Real Sociedad 4-2.

Martin Braithwaite's brace after Gerard Pique had opened the scoring gave Barca a three-goal advantage with 59 minutes played in Sunday's contest at Camp Nou.

Julen Lobete and Mikel Oyarzabal scored quickfire goals to set up a nervy conclusion to the game, but Sergi Roberto struck in injury time to seal a deserved win for the home side.

It was the perfect way for the Catalan giants to put the shock of losing their all-time leading goalscorer Messi to Paris Saint-Germain on a free contract this week behind them.

And while Koeman would prefer to still have Messi in his squad, the Dutchman feels Barca proved there is life without their former captain as they outclassed La Real.

"We know that we are good with the ball, but we have worked hard on pressing and to do so with everyone," Koeman said during his post-match news conference. 

"We have to be more collective than before. For me, the team in the first half hour was the best Barca in years. It is the path we want to follow.

"I would like to have Messi in the team. Of course we don't have the player who decides games on his own, but this is more about the collective now.

"We have to create opportunities to score. Today we scored four so it's fine."

Pique got the ball rolling for Barcelona with his 19th-minute opener, heading in a pinpoint free-kick sent in by Memphis Depay on his competitive debut for the club.

Depay, Eric Garcia and Rey Manaj could only be registered by Barca on Saturday after Pique accepted a substantial pay cut to ensure they met LaLiga's salary cap limit.

Pique celebrated his goal by kissing the Barcelona crest on his shirt and Koeman hailed the long-serving defender for putting the team first.

"For me, Pique was also the team leader last year," Koeman said. "Due to injuries he couldn't play as much as he would have liked. He has been exemplary for all the Catalans."

Braithwaite was Barcelona's star performer in their opening match of the 2021-22 campaign with his two goals, which makes him the first Danish player to score a brace in LaLiga this century.

His double came from an expected goals return of 0.89 and Koeman expects the 30-year-old to play an important role this campaign, despite being heavily linked with a move away from Camp Nou.

"I have always said that he is a great example of a professional soccer player," Koeman said. "He always works for the team and he has improved his game – not only because of the goals. 

"He helps us in many areas. He also has speed and always he is very difficult to defend against. I am delighted to have players like him."

Barcelona are now unbeaten in their last 11 league games against Real Sociedad in LaLiga, but tougher tests lie in wait with Sevilla and Atletico Madrid to come in their next seven games.

Following a period of doom and gloom, Koeman is hoping for a positive future with returning supporters fully behind their side.

"We know that the season is very long and many things can happen," Koeman added. "If the fans see a team with enthusiasm, that tries to do things well, with a positive attitude, that always helps. 

"We need the fans. We have to leave them happy and I think they have gone home happy today."

Gerard Pique says cash-strapped Barcelona's captaincy group are "proud" to take a pay cut after he scored in a 4-2 LaLiga victory over Real Sociedad.

Barca revealed on the eve of the club's opening game of the campaign that Pique had taken a "substantial" reduction in his wages in order for Depay, Eric Garcia and Rey Manaj to be registered.

Pique's gesture ensured the Catalan giants, who were unable to keep Lionel Messi due to their financial troubles, are within the salary cap.

Fellow skippers Sergio Busquets, Sergi Roberto and Jordi Alba are also prepared to take a pay cut.

Depay started to repay Pique by setting up the opening goal on his debut and Martin Braithwaite struck twice, with Sergi Roberto completing the scoring after late goals from Julen Lobete and Mikel Oyarzabal gave La Real hope of salvaging an undeserved point at Camp Nou.

Pique criticised the way the club has been run following Messi's departure, but the Spain centre-back was determined to do everything in his powers to ease their problems.

He told LaLiga TV: "I was born here, I was brought up here. I've lived all my life pretty much in Barcelona and I've been a player for Barcelona for a long, long time.

"It was a gesture [to reduce his wages], I think it was the gesture that was required. I'm in contact with the other captains as well. I think they're going to make a very similar step very shortly. I wanted to be the first to get it done.

"We're a family here. All the captains have the same intentions to help the team. It's a decision that we've taken and we're proud of the decision we've taken. There's plenty of desire to keep performing and keep playing well

"I think sometimes people talk a lot and don't understand the situation properly. Right from the end of last season I've been in touch with Sergi Roberto, with Jordi Alba, with Sergio Busquets and it's something that has to be agreed with the club.

"The club needed someone to do this so we could register the players in time for the first game. I was the one that did it but the other players are prepared to do it.

"Sometimes the information that comes out isn't 100 per cent clear. It's not complete. But the club have asked players to make a sacrifice and players are going to do that. All the players have wanted to help the club."

Some Barca fans chanted Messi's name in the 10th minute, although some were not impressed with that gesture.

Pique is confident Ronald Koeman's side can have a season to remember without their leading all-time goalscorer, who joined Paris Saint-Germain after his contract expired.

"We knew the supporters would react the way they've reacted," said Pique. "I'm not going to talk to you about what Lionel Messi means to this club, we all know that. The most important player in the history of this club and the most important player in the history of football.

"But everything changes, nothing stays the same for ever. We have to keep going and I think we've got real quality. I'm convinced we're going to compete for everything this season

"We'll miss Leo, of course we will, but the team has shown in this game that we're all together, we've got goals in the side and despite the fact we were a little bit looser in the second half they didn't create too many chances throughout the game. I think we're going to enjoy ourselves this season."

Unseeded Camila Giorgi again surprised Karolina Pliskova as she earned a straight-sets win in Sunday's National Bank Open final to claim the third singles title of her career.

The world number 71 defeated Pliskova at the Viking International and the Tokyo Olympics in the past three months and prevailed 6-3 7-5 in their latest meeting in Montreal.

Giorgi, who had never previously won a trophy above 250 level or on outdoor hard courts, has now triumphed in 16 of her last 20 matches in an impressive 2021 campaign.

She lost just one set all week and will move back into the world's top 35 for the first time since May 2019 with this first tournament victory since the Linz Open in October 2018.

Fourth seed Pliskova eliminated favourite Aryna Sabalenka in the semi-finals but could not replicate that performance as she fell at the final hurdle in a tournament for the third time this year.

Giorgi broke the former world number one for the first time in a lengthy fifth game and took the first set when Pliskova double faulted and sent a forehand wide in the final game.

Pliskova double faulted six times across the match, which lasted one hour and 40 minutes, including in the fourth game of the second set to put her opponent in complete control.

The Czech was given hope when earning her first break of serve in the following game, but she was let down by some forehand errors in the 12th game and Giorgi took her second championship point to seal an emotional win.

Memphis Depay went some way to repaying Gerard Pique as Barcelona started life without Lionel Messi by beating Real Sociedad 4-2 in their first game of the LaLiga season.

Depay, Eric Garcia and Rey Manaj could only be registered by Barca on the eve of Sunday's game at Camp Nou because Pique took a substantial pay cut, ensuring the cash-strapped Catalan club met LaLiga's salary cap limit.

Impressive debutant Depay set up Pique for the opening goal after chants of 'Messi' reverberated around the stadium in the 10th minute of the Blaugrana's first game since his sensational move to Paris Saint-Germain.

Martin Braithwaite was on target at the end of the first half and added a second after the break before late goals from Julen Lobete and Mikel Oyarzabal set up an unlikely tense finale.

Sergi Roberto eased the nerves with a fourth Barca goal in injury time as they started the campaign with a richly deserved victory.

Antoine Griezmann headed against the crossbar as La Real struggled to contend with Barca's crisp passing and movement in a blistering start from Ronald Koeman's side, but Pique opened the scoring after 19 minutes.

Depay had been lively from the start and the Netherlands forward whipped in a pinpoint free-kick for the unmarked centre-back, who headed in from eight yards out.

Brave goalkeeping from Alex Remiro denied Depay a debut goal soon but Braithwaite doubled vibrant Barca's lead in first-half stoppage time, planting a powerful header into the net after Frenkie de Jong stood up an inviting cross.

Jorda Alba failed to hit the target with only Remiro to beat after he was sent clear early in the second half, but he made amends just before the hour mark.

Depay slipped the marauding full-back in with a clever pass and Remiro could only palm his cross into the path of Braithwaite, who fired home from six yards out.

Barca were relentless and Pedri forced a fine reflex save from the busy Remiro before Lobete pulled a goal back with a measured left-foot finish.eight minutes from time and Oyarzabal curled home a sublime free-kick.

Sergi Roberto sealed the points, though, tucking home the excellent Braithwaite's cross from the right.

Roger Federer will not take part in the upcoming US Open after the 20-time grand slam winner announced he is to undergo knee surgery that will rule him out for "many months".

The 40-year-old has not been in action since losing to Hubert Hurkacz in a Wimbledon quarter-final in July and has completed only five events this year.

Federer underwent two operations on his right knee in 2020 and requires another procedure that the legendary Swiss hopes will give him a chance to return to the court.

"I just wanted to give you a bit of an update on what's been going on since Wimbledon," Federer, who won the most recent of his five titles at Flushing Meadows in 2008, posted in a video message on his Instagram page on Sunday.

"As you can imagine, it's not been simple. I've been doing a lot of checks with the doctors as well on my knee, getting all the information as I hurt myself further during the grass-court season and Wimbledon.

"That's just not the way to go forward, so unfortunately they told me for the medium to long term to feel better, I will need surgery. I decided to do it.

"I'll be on crutches for many weeks and also out of the game for many months, so it's going to be difficult of course in some ways.

"But at the same time I know it's the right thing to do because I want to be healthy, I want to be running around later as well again and I want to give myself a glimmer of hope to return to the tour in some shape or form."

Federer, now ranked number nine in the world, missed more than a year of action after first having his knee operated on shortly after the 2020 Australian Open.

"I am realistic, don't get me wrong," he said. "I know how difficult it is at this age right now to do another surgery and try it. 

"But I want to be healthy, I will go through the rehab process I think also with a goal while I'm still active, which I think is going to help me during this long period of time."

Federer added: "Also a big thank you already now for all of your messages that are going to be coming in because you guys are always incredible. 

"You always think of me. Some of you suffer with me. I'll update you as I move along with my rehab. I wish you all the best and I'll check in with you soon."

The US Open in New York begins on August 30, with Dominic Thiem looking to retain his title.

Diego Simeone is confused by the rules for handball after Atletico Madrid were on the wrong end of a contentious penalty decision against Celta Vigo.

LaLiga champions Atleti began their title defence with a gritty 2-1 victory over Celta on Sunday – Angel Correa's double proving decisive.

Correa opened the scoring with a brilliant strike in the first half, but Celta equalised before the hour after Marcos Llorente was adjudged to have handled from Iago Aspas' flick.

Jan Oblak had fumbled a cross to Aspas, who attempted to prod home. His effort struck Llorente's chest and rolled to his knee before bouncing onto the midfielder's arm and, to Atleti's fury, the referee pointed to the spot after checking with the VAR.

Correa swiftly restored Atletico's lead, and the champions held firm despite a late flurry – Aspas missing an open goal before Mario Hermoso and Hugo Mallo were sent off for violent conduct in stoppage time.

In his post-match news conference, Simeone revealed he is struggling to understand what the rules regarding handball are.

"The other day we were meeting with the referees and it is very difficult to understand what is handball and what is not," Simeone said.

"I still believe that VAR is very good and that the referees seek to decide what they see as the best."

Backing up Simeone's point, Celta striker Aspas – who converted the spot-kick – acknowledged he did not initially believe a penalty would be awarded.

"It is not clear to me about the handball. If I'm honest, at the time I thought it wasn't a penalty," the forward told Movistar+. 

"I didn't see it quite right. Marcos [Llorente] told me it was not and I trusted him until the referee decided it was a penalty."

Atleti are now unbeaten in their past 12 LaLiga openers, and Simeone was pleased with a typically battling performance – a 60.7 per cent duel success rate demonstrating their approach. 

"We played a very good game. We created many difficulties for a team that plays very well," Simeone said.

"In the second half after the penalty, a different dynamism is generated and the team responds very well with a goal.

"The pace with which it was played was very high. It makes me very happy. We talked about how to solve this very different preparation that all the teams had and we tried to make it a challenge and not a problem."

Mark Wood led the attack as England boosted their hopes of victory in the second Test as India were reduced to 181-6 by the end of an absorbing fourth day at Lord's.

Holding a slender first-innings lead of 27, England quickly put their opponents under pressure with three early wickets before Cheteshwar Pujara and Ajinkya Rahane held up the hosts.

The duo put on a 100-run stand to help ease concerns for India, only for the tourists to then lose three wickets for 20 runs before the close, leaving the game wonderfully poised.

KL Rahul had scored a century on day one but fell for just five second time around, caught behind off the impressive Wood (3-40). Rohit Sharma erased the deficit with two fours and a six, though fell to the same bowler – caught in the deep taking on the short ball – before his side had gone ahead.

However, it was Sam Curran who struck the crucial blow, claiming his first wicket of the series as Virat Kohli was caught by wicketkeeper Jos Buttler after prodding tamely at a delivery outside off stump.

Kohli's departure for 20 left India teetering at 55-3 just prior to lunch, yet England's attack could not make further inroads in the afternoon session.

However, Pujara was eventually dismissed for a battling 45 by a brute of a delivery from Wood, the ball rising off a length to take the edge and be caught by Joe Root at second slip.

Ajinkya Rahane did reach his half-century but became one of two late wickets for off-spinner Moeen Ali, a thin edge ending his knock at 61. Ravindra Jadeja did not last too long, beaten by one that turned to be bowled for three.

Rishabh Pant survived a late trial by spin in fading light to finish on 20 not out, with his continued presence in the middle – and just the tail for company – adding further intrigue ahead of Monday's play.

Digging in

Pujara has had a lean time of it of late, this his highest score since making 73 against the same opponents in Chennai back in February. Indeed, since the start of 2020, he has averaged just 25.95 with no century since the tour of Australia over two years ago.

It took him 35 balls and 51 minutes to get off the mark on Sunday, a long-awaited single greeted by ironic cheers from the crowd and a wry smile from Pujara himself.

Wood makes things happen

England let slip a chance to dismiss Rahane on 31, Jonny Bairstow unable to hang on to a tough diving chance off Ali, but the late clatter of wickets could be crucial in the final reckoning.

Wood started the mini-collapse by ending Pujara's stubborn resistance, fine reward for the pace bowler's perseverance on a sluggish surface. Worryingly, though, he was not on the field at the finish after hurting his shoulder diving to stop a boundary.

Atletico Madrid started the defence of their LaLiga title with a hard-fought 2-1 victory over Celta Vigo, aided by Angel Correa's double and a dreadful miss from Iago Aspas.

Correa struck either side of Aspas' penalty before both teams had a player sent off in stoppage time, Mario Hermoso and Hugo Mallo seeing red after a confrontation between the pair.

Matters might have been a little easier for Atleti if not for a rather soft Celta spot-kick, Marcos Llorente harshly adjudged to have handled.

Correa – starting up top with Luis Suarez on the bench – ultimately settled the contest with a cool finish, though Aspas sliced wide of an open goal with 10 minutes remaining to let Diego Simeone's side off the hook.

The game's first shot on target led to the first goal. Thomas Lemar's fantastic run teed up Correa, who slammed a brilliant finish high into the net, leaving Matias Dituro flat-footed.

However, Celta had a lifeline 11 minutes into the second half. Jan Oblak flapped at a cross and Aspas was only able to divert it, from point-blank range, onto the chest of Llorente.

The ball bounced down onto the midfielder's knee and up to his forearm, yet despite there being little possibility of Llorente getting out of the way, referee Jose Luis Munuera Montero pointed to the spot after consulting the VAR.

Aspas rolled in a cool finish to send the limited-capacity crowd wild, though parity lasted just five minutes as Correa drilled in a fantastic second after he was found by Saul Niguez.

It was Correa's final act too, with Suarez, alongside new signing Rodrigo de Paul, immediately coming on.

Suarez skied a free-kick and Aspas should have made Atleti's profligacy pay, only to somehow miss the target with half of the goal to aim at.

There was more drama late in stoppage time following a foul by Mallo on Suarez, leading to him getting involved with Hermoso. Both were dismissed for violent conduct, but Atletico's 10 men held on.

Fabio Jakobsen timed his sprint finish to perfection to win stage two of the Vuelta a Espana.

Alpecin-Fenix rider Jakobsen edged out Fabio Jakobsen (Deceuninck-Quick Step) in Burgos on Sunday at the end of a 166.7-kilometre flat stage that started in Caleruega.

Michael Matthews (Team BikeExchange) took third place as 23-year-old Belgian Jakobsen claimed his second Vuelta stage win after being led out brilliantly by his team-mates.

Primoz Roglic retained the red jersey with a lead of four seconds over Alex Aranburu following the defending champion's time-trial triumph on the opening stage.

Sprinter Jordi Meeus was among the Bora-Hansgrohe riders who were involved in a crash four kilometres from the end of the second day.

Diego Rubio (Burgos-BH), Sergio Martin (Caja Rural-Seguros RGA) and Xabier Mikel Azparren (Euskaltel-Euskadi) made an early break on a hot, draining day for the riders.

Rubio looked the strongest of that breakaway trio and he tried to go solo, but was caught with a little over 20 kilometres to go to set up the sprint finish that was anticipated.

Juan Sebastian Molano (UAE Team Emirates) hit the front with 200 metres remaining, with Matthews on his wheel, but it was Jakobsen who nipped in front to take the victory.

He said: "It's incredible. Yesterday someone put it in our team group chat [that they could win the first sprint of all three Grand Tours] and for sure it was a dream but I didn't want to think about it because the chance is always less high than it would be true.

"It just shows how everyone from team is really motivated. It was a team effort and we can be really proud. It was amazing to see all my team-mates there and everyone on the front line. I had a lot of support and this is how we can win sprints.

"Each of us can be very happy tonight and we start this Grand Tour in a good way."

STAGE RESULT

1. Jasper Philipsen (Alpecin-Fenix) 03:58:57
2. Fabio Jakobsen (Deceuninck-QuickStep)
3. Michael Matthews (Team BikeExchange)
4. Juan Sebastian Molano (UAE Team Emirates)
5. Alex Aranburu (Astana-Premier Tech)

CLASSIFICATION STANDINGS

General Classification

1. Primoz Roglic (Jumbo-Visma) 0:08:32
2. Alex Aranburu (Astana-Premier Tech) +0:04
3. Michael Matthews (Team BikeExchange) +0:10

Points Classification

1. Jasper Philipsen (Alpecin-Fenix) 50
2. Fabio Jakobsen (Deceuninck-QuickStep) 50
3. Alex Aranburu (Astana-Premier Tech 50

King of the Mountains

1. Sepp Cuss (Jumbo-Visma) 3
2. Sep Vanmarcke (Israel Start-Up Nation) 2
3. Rui Oliveira (UAE Team Emirates) 1

What's next?

A first high-altitude finale in Picon Blanco awaits the riders, who will start a demanding 202.8km third stage in Santo Domingo de Silos.

Real Madrid forward Eden Hazard is confident he can push on this season after an injury-hit first two years in LaLiga.

Hazard signed for Madrid from Chelsea for a reported fee of an initial €100million (£89m), though there was potential for the deal to rise significantly due to additional bonus payments.

However, the Belgium attacker has hardly made an impact in the Spanish capital and is reportedly one of the players Madrid are open to selling as they look to ease their financial difficulties in the wake of the coronavirus pandemic.

Niggling injuries have derailed Hazard's Madrid career, restricting him to just 43 appearances in total across all competitions over the 2019-20 and 2020-21 campaigns, with 31 of these being starts.

Yet the 30-year-old, who featured for Belgium at Euro 2020 after overcoming an ankle problem, looked sharp as Madrid thrashed Deportivo Alaves in Carlo Ancelotti's first game back in LaLiga on Saturday, his deft flick teeing up Karim Benzema for Los Blancos' opener in the 4-1 win.

That assist was one of a game-leading three chances created by Hazard, who lasted 66 minutes before being replaced by Vinicius Junior.

"I have nothing but good feelings for me and for the team," Hazard told Movistar+. 

"The feelings are good, I'm feeling good, we want to win LaLiga this season.

"My ankle injury is a thing of the past, it's already out of my head. I am going to give everything this season."

Hazard started in a front three alongside Gareth Bale and Benzema, who the Belgian found six times in total on Saturday, with only Luka Modric (13), David Alaba and Federico Valverde (both eight) picking out the France striker on more occasions.

"I enjoy playing with Benzema, we know each other very well and it's easy to play with him," Hazard added.

A trip to Levante is next up for Madrid in a week's time.