Neymar's legal representatives had paid his 222 million euros (200 million pounds) release clause and French television station RMC Sports said the Brazilian had signed a five-year contract with Paris St Germain.
The PSG frontline is already formidable, with Messi's former Barca team mate Neymar and young France striker Kylian Mbappe seen as two of the best players on the planet.
The win lifted Hamburg, who needed a relegation playoff to stay up last season, to seventh on six points.
Kevin De Bruyne had to be replaced by Gabriel Jesus in the 60th minute on Saturday following a collision with Antonio Rudiger.
Real Madrid midfielder Luka Modric urged Neymar to join him at the Champions League winners after swapping shirts with the forward following Sunday's international friendly between Brazil and Croatia.
News of all that's transpired on and off the football field
Britain's No 1 tennis player Andy Murray watched Neymar score twice.
The Dutchman burst through the middle of the pitch and laid the ball off for Messi to dribble into the net for an 18th league goal of the season, extending his lead at the top of the scoring charts.
Lionel Messi has become the first player to win Europe's Golden Shoe award for three straight years after his nearest challenger Kylian Mbappe failed to score the four goals he needed in Paris St Germain's final league match of the season on Friday.
News of all that's transpired on and off the football field.
Petr Cech will return in goal for Arsenal at HullCity on Saturday after missing the 1-1 Champions League draw at Paris St Germain in midweek.
New Chelsea signings David Luiz and Marcos Alonso are not ready for a first-team place in Sunday's Premier League clash with SwanseaCity, manager Antonio Conte said on Friday.
The Portuguese can expect a hostile reception in Valencia, who had to suffer 15 of his goals for Real Madrid and are returning to the Champions League for the first time in three years.
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Paris St Germain substitute Edinson Cavani, criticised by French media lacking composure in front of goal, responded in style to earn a 2-1 home win over Chelsea in their Champions League last-16 first leg on Tuesday.
Paraguayan prosecutors will not charge Ronaldinho Gaucho for possession of an altered passport, but the former Barcelona player has admitted guilt and agreed to face an alternative punishment, the lead official in the case said on Thursday. Ronaldinho and his brother and business manager Roberto Assis both entered Paraguay on Wednesday with false documents, officials said.
Images from Sunday's action in La Liga and Ligue 1.
Last season's runners-up Liverpool, big-spending French league champions Paris St Germain and Carlo Ancelotti's Napoli were thrown together in the pick of the groups while holders Real Madrid must face last season's semi-finalists AS Roma.
Franck Ribery, who has been shortlisted for the prestigious FIFA-Ballon d'Or award, was named French Player of the Year on Tuesday by France Football magazine.
IMAGES from the UEFA Nations League matches played on Sunday.
With two days to go before his country meet Denmark in the first leg of their Euro 2016 playoff at the Friends Arena, Ibrahimovic also hinted that the two games against Sweden's Scandinavian rivals could be his last for the national team.
Alaba strike on Clasico debut gives Real Madrid 2-1 win at Barcelona.
Lionel Messi scored his 650th goal for Barcelona while Antoine Griezmann struck the winner in a 2-1 home success over Athletic Bilbao
A statement from the club on Thursday said they had made record turnover of 990 million euros last season and projected an increase to 1.047 billion euros for the 2019/20 campaign.
'We won at Tottenham away, Chelsea away, then Arsenal in the FA Cup, now this game today. What else does he have to do?'
IMAGES from the soccer matches played across European leagues over the weekend.
Less than a day after being knocked out the World Cup by Belgium, Brazilian striker Neymar said he will find it hard to return to club football.
Defender Thiago Silva has criticised Brazil coach Dunga and star player Neymar after claiming neither of them told him he was no longer Brazil captain.
Livepool striker and Dembele close in on Camp Nou move
Javier Pastore and Edinson Cavani scored late as Paris St Germain ignored their fans' boos and recovered from a shaky start to beat visiting strugglers Evian Thonon Gaillard 4-2 on Sunday.
The move would end a turbulent spell at the club for the Argentine, who has fallen out with fans along on the way and provided fodder for the gossip columns thanks to his marriage to Wanda Nara, a media personality who also acts as his agent.
France coach Didier Deschamps confirmed his final Euro 2016 squad on Tuesday, including defenders Adil Rami and Samuel Umtiti in place of the injured Raphael Varane and Jeremy Mathieu. Liverpool centre back Mamadou Sakho was not included even though his 30-day provisional suspension for failing a drugs test expired last weekend. Hosts France geared up for the finals with a 3-2 victory over Cameroon in Nantes on Monday. They take on Scotland in Metz on Saturday.
News of all that transpired on and off the football field.
Liverpool's Brazil midfielder Philippe Coutinho is on the verge of signing for La Liga leaders Barcelona in a club-record deal, according to Spanish media reports.
The former Barcelona forward, key to his country's hopes in Russia, came on as a halftime substitute and provided the moment of inspiration for win the game in the 69th minute.
Germany midfielder Julian Draxler has joined Paris St Germain on a four-and-a-half year contract from VfL Wolfsburg, the French champions said on Tuesday. The 23-year-old was a member of the victorious Germany squad at the 2014 World Cup. "For the first time in my career I will discover a new country, a new league and I am very proud to take this step in one of the best clubs in Europe," Draxler said in a club statement.
Poland midfielder Grzegorz Krychowiak has signed a five-year contract with Paris St Germain, the French champions said in a statement on Sunday.
Cristiano Ronaldo has no plans to slow down and feels a decade younger than his 33 years
Angel Correa saw La Liga leaders Atletico Madrid snatch a 2-1 victory away to Granada on Saturday
Neymar prompted more speculation with a brief Instagram video, showing a black-and-white image of himself in a shirt with the badge of Barcelona and a quote from the Bible, which was widely reproduced on news websites.
