Lionel Messi created a goal and scored another as Barcelona came from behind to beat struggling Rayo Vallecano 3-1 at home on Saturday and stay seven points clear at the top of La Liga.
Dutchman Ronald Koeman has signed a two-year-deal with Barcelona.
Real Madrid ended their long wait for a La Liga victory by beating Real Valladolid 2-0 on Saturday with two late goals in interim coach Santiago Solari's first home game in charge of the struggling European champions.
Barca lead the standings on 39 points from 18 games, three clear of second-placed Real Madrid who host Athletic Bilbao on Sunday.
Madrid were not at their best but moved three points clear of rivals Barcelona.
Lionel Messi dragged Barcelona back from two goals down by scoring twice to snatch a 2-2 draw at home to Valencia in a thrilling encounter.
Marco Asensio followed up his brilliant late goal in Sunday's first leg with a stunning effort from 30 metres in the fourth minute that proved a punishing blow for the Catalans.
An early own goal by Luke Shaw, who deflected in a header from Luis Suarez, decided a tight first leg and gave Barca their first victory at Old Trafford in five attempts in European competition.
Lionel Messi fittingly sealed Barcelona's 26th La Liga title on Saturday by coming off the bench to score the goal in a 1-0 win over Levante in front of a jubilant Nou Camp crowd, who celebrated a remarkable eighth league crown in 11 years.
The historic rivals will meet again twice in August in the Spanish Super Cup and this International Champions Cup match set the entertainment bar high, with Barcelona maintaining their 100 per cent record in pre-season.
Images from the football matches played across Europe on Sunday.
Included in Barcelona squad to face Dortmund
Argentine Dybala has scored seven goals in four games for Juventus this season, including a hat-trick against Genoa in Serie A on August 26.
Ansu Fati is the second-youngest player to represent the Catalan giants in La Liga aged 16 years and 298 days.
Frenchman Griezmann has a 100 million euro ($119 million) release clause in his contract and Spanish media reported that Barcelona are ready to pay it.
Images and a round-up of all the World Cup qualifiers played across continents on Tuesday.
Barcelona forwards Lionel Messi, Philippe Coutinho and Luis Suarez combined to devastating effect to hammer Girona 6-1 on Saturday as they went 10 points clear at the top of La Liga and set a club record of 32 games unbeaten in the league.
Lionel Messi celebrated his sixth Ballon D'Or award with a brilliant hat-trick as Barcelona moved back top of La Liga with an emphatic 5-2 victory over Real Mallorca.
Messi, who has struggled for form in recent weeks due to a niggling injury, looked on a mission to grab the winner and after twice coming close he completed his treble to put Barca ahead in the 85th minute, reacting quickly to a poor Sevilla clearance to dink the ball over goalkeeper Tomas Vaclik.
Here are five talking points from the weekend's action:
Barcelona coach Luis Enrique is expecting another gruelling game at Athletic Bilbao when the La Liga champions visit San Mames on Sunday.
Images from Saturday's La Liga action.
Chris Froome has been so strong on this year's Tour de France that at times he appears to have been toying with his rivals.
Paris St Germain will be without the talismanic Zlatan Ibrahimovic for the return match but are still favourites to progress after beating Valencia 2-1 in their Champions League last-16 first leg on Tuesday.
Setien's complaint piled yet more pressure on president Josep Maria Bartomeu less than an hour after a group seeking his removal announced they had gathered enough signatures to force a vote of no-confidence against him.
Real Madrid and Atletico each slipped 10 points behind La Liga leaders Barcelona after an intense Madrid derby finished goalless and the Catalans picked up an 11th victory in 12 games by winning 3-0 at Leganes.
Valencia ended a miserable week on a high when they came from behind to snatch a 3-2 win at struggling 10-man Deportivo La Coruna that lifted them to fifth in La Liga on Saturday.
Lionel Messi scored twice as King's Cup holders Barcelona moved comfortably into the quarter-finals by thrashing Celta Vigo 5-0 at the Nou Camp in their last 16 second leg game on Thursday.
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AS Roma pulled off one of the great Champions League comebacks by knocking Barcelona out with a remarkable 3-0 win in their quarter-final second leg on Tuesday, overcoming a 4-1 deficit from the first game to reach the last four on away goals.
Barcelona snatched a late 2-1 win at Getafe with Paulinho's strike sending them seven points clear of arch-rivals Real Madrid at the top of La Liga.
News of all that's transpired on and off the football field
"It's better for Messi to play as he is the best in the world and he gives you a boost but we should be very proud as a team, as we showed that we are a great team without Messi and we have a great coach (Ernesto Valverde)," Suarez said.
Real Madrid moved into the semi-finals of the Champions League after their makeshift defence held on for 0-0 second-leg draw with Liverpool at Anfield on Wednesday to complete a 3-1 aggregate win.
A month after completing a two-year ban for doping, Alberto Contador showed that he was still a force to be reckoned with as he won his second Vuelta a Espana title on Sunday.
Lionel Messi scored twice to earn Barcelona a 2-0 derby win over Espanyol and send them 13 points clear at the top of La Liga on Saturday.
Images from the FIFA World Cup qualifiers matches.
It was a dramatic night at the Champions League as Barcelona's Anssumane Fati -- 17 years and 40 days old - became the youngest to net a goal in the competition. Last season's semi-finalists, Ajax were eliminated by Valencia while Napoli's coach Ancelotti was shown the door despite the team's progress. Here are Images from the Champions League matches played on Tuesday
Manchester Utd's Fred receives racist abuse after defeat by Liverpool.