• Georgian opens the scoring as PSG beat rivals 2-0

• Inter victorious over Lazio in Coppa Italia final

Paris Saint-Germain secured a fifth successive Ligue 1 title by beating their nearest challengers, Lens, 2-0 in their penultimate match of the league season on Wednesday.

Khvicha Kvaratskhelia scored after 29 minutes and the substitute Ibrahim Mbaye grabbed a stoppage-time goal to put PSG on 76 points, out of the reach of Lens, who are assured of second place on 67 points.

• La Liga lead cut to one point after surprise 2-1 defeat

• Füllkrug scores first goal in Italy since leaving West Ham

Real Sociedad damaged Barcelona’s title defence with a surprise 2-1 home victory as Hansi Flick’s side fell to a first defeat in 12 matches. The Catalan side, who hit the woodwork four times and had two goals disallowed, now lead their rivals Real Madrid by only a point at the top of La Liga after Álvaro Arbeloa’s side beat Levante on Saturday.

Sociedad, now unbeaten in four games under their new American coach Pellegrino Matarazzo, had Carlos Soler sent off late on but managed to hold on.

• 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.

• England captain comes on in 60th minute of 5-0 win

• Ferran Torres hat-trick helps Barcelona sink Real Betis

Harry Kane scored a hat-trick after coming on as second-half substitute to guide Bayern Munich to a 5-0 victory at Stuttgart.

The Bavarian club, who have opened up an 11-point lead at the top, were a goal up but struggling against the aggressive hosts until the introduction of Kane on the hour mark. Stuttgart were also left with 10 men for the last 10 minutes after the dismissal of Lorenz Assignon.

• Dortmund hold on to beat Bayer Leverkusen

• Leão strike gives Milan 1-0 win over Lazio

Barcelona recovered from an early setback to secure a 3-1 victory over Alavés, with first-half goals from Lamine Yamal and Dani Olmo and a late second for the latter sealing the win at the Camp Nou.

The win lifts the defending La Liga champions to the top of the table on 34 points, two ahead of second-placed Real Madrid, who have a game in hand at Girona on Sunday.