• Bayern bounce back from early concession to win 4-2

• PSG’s title hopes hit after 2-1 home defeat by Lyon

Bayern Munich secured their 35th German league title by beating Stuttgart 4-2 to open up an unassailable lead with four games to play. Sunday’s result sent Bayern 15 points clear of second-placed Borussia Dortmund.

The Bavarian side, who face Bayer Leverkusen in the German Cup semi-final next week before taking on Paris Saint-Germain in the first leg of their Champions League semi-final on 28 April, were a goal down before scoring four times to quickly turn the game around.

• Brazil international scores winner in 3-2 victory

• Barça four points clear at top after beating Vallecano

Vinícius Júnior scored twice as Real Madrid fought back to beat Atlético Madrid 3-2 in a breathless Spanish capital derby on Sunday, keeping Alvaro Arbeloa’s side within four points of the La Liga leaders, Barcelona.

Atlético’s Ademola Lookman opened the scoring in the 33rd minute, finishing a slick counterattack involving Matteo Ruggeri and a delightful backheel from Giuliano Simeone. Vinícius equalised from the penalty spot in the 52nd minute after David Hancko clumsily tripped Brahim Díaz, and Federico Valverde capitalised on a José María Giménez error three minutes later to make it 2-1 to Real.

• Barça thrash Sevilla to restore four-point lead in La Liga

• Isaksen damages Milan’s title hopes with first-half winner

Raphinha hit a hat-trick as Barcelona thrashed Sevilla 5-2 to restore their four-point lead at the top of La Liga. After Real Madrid cut the gap by beating Elche on Saturday, the Spanish champions responded by romping to a comfortable victory.

Dani Olmo and João Cancelo also struck for Hansi Flick’s side, who host Newcastle in the Champions League on Wednesday. Fans streamed to the stadium to vote in the club’s presidential elections, with either Joan Laporta or Victor Font to be announced the new chief later on Sunday night.

• Teenager’s goal edges champions to 1-0 victory

• Borussia Dortmund overcome Cologne 2-1

Lamine Yamal’s superbly taken goal earned Barcelona a 1-0 win at Athletic Bilbao on Saturday in La Liga. The champions restored their four-point lead on second-placed Real Madrid, who had temporarily closed the gap by beating Celta Vigo on Friday.

Yamal curled into the top corner after 68 minutes to split the sides at Athletic’s San Mamés stadium in a hard-fought clash.

• Rodrygo keeps Real within four points of Barça at top

• Inter win 2-1 at Genoa, as Milan draw and Napoli lose

Rodrygo secured a crucial 2-1 victory for Real Madrid at Alavés in La Liga, ending a dismal run of form and keeping them within four points of the leaders, Barcelona.

Real, under pressure after two successive defeats in all competitions, broke the deadlock through Kylian Mbappé’s stunning first-half strike. However, a resilient Alavés levelled in the 68th minute through Carlos Vicente. The visitors restored their lead eight minutes later, courtesy of a counterattack led by Vinícius Júnior, whose assist was converted by Rodrygo.

Bo Henriksen and Mainz are now floundering at the foot of the Bundesliga after a humiliation in the Black Forest

It was, as the clock chimed metaphorical midnight in Berlin, just another Bundesliga day for Heidenheim, without help, hope or points as they trailed Union going into the 90th minute, heading towards another weekend at the foot of the table and, no doubt, for the umpteenth time so far this season, veteran coach Frank Schmidt warning that at current pace, relegation was less a fear and more an inevitability.

Then it all changed. A burst down the right from Omar Haktab Traoré and a cross to the front post was met by fellow substitute Stefan Schimmer, and a wobbling Union had stumbled. The away side sensed the moment and a corner from Arijon Ibrahimovic, swung in just after the announced four minutes of stoppage time in moments added by Schimmer’s goal and its aftermath, was headed in by another sub, Jan Schöppner, to spark pandemonium. Referee Patrick Ittrich almost immediately blew for full-time and finally, more than two months after their hitherto solitary Bundesliga win of the season, Schmidt and company were taking three points home.