The 26-year-old France captain has bagged 14 goals in 10 appearances across all competitions in his second season at Real.
The France star opened the scoring in the 12th minute with his fourth goal in as many games this season. Mbappé used his superior speed to race onto a poor pass by a Sociedad player and fire past goalkeeper Alex Remiro.
France opened their World Cup qualifying campaign with a commanding 2-0 victory over Ukraine.
After struggling to break down a stubborn Osasuna defence in the opening half, Kylian Mbappe won the penalty and converted from the spot six minutes after the break.
Kylian Mbappé’s relationship with PSG ended amid deep tensions, and some fans booed him in his last home game at Parc des Princes.
Brazil forward Endrick and Brahim Diaz are the likely replacements for Mbappe in attack.
Real Madrid will face either Bayer Leverkusen or city rivals Atletico Madrid, depending on Friday's draw, as they seek a record-extending 16th title.
Kylian Mbappe left PSG to join Real Madrid in June after seven years in Paris, having scored more than 170 goals in Ligue 1 from more than 200 appearances for the club.
Kylian Mbappe added to his scoring streak with a superb strike in Real Madrid's 4-2 win over Sevilla in the Spanish league to finish the year on a positive note after hitting what he called "rock bottom” in early December.
Real Madrid has lost five of its last 11 matches in all competitions.
Liverpool extended its perfect record in the Champions League this season and is top of the standings after five games.
On the eve of a high-risk Nations League match against Israel in Paris, France coach Didier Deschamps was asked if he had spoken with Mbappé about his decision to leave the Real Madrid forward out of his squad.
Struggling to make an impact at Real Madrid, Kylian Mbappe has again been left out of the France squad.
Real Madrid suffered its first loss since September 23 last year. And what a loss it was.
When Real Madrid added Kylian Mbappé, Barcelona looked doomed to becoming a regular runner-up to its fierce rival. Then Hansi Flick arrived with fresh ideas, Lamine Yamal blossomed into a star, his teammates stepped up their game, and Saturday’s clasico promises to be a highly entertaining and close-fought match.
Kylian Mbappe and Vinicius Jr scored in each half to give Real Madrid a hard-fought 2-1 win at Celta Vigo in LaLiga on Saturday.
Christopher Nkunku celebrated his return to the France team with a goal in a 4-1 victory over Israel in the Nations League as Les Bleus edged closer to A2 Group leaders Italy on Thursday.
In a congested soccer season where elite players have aired the idea of going on strike, the Nations League returns this week looking less than a top priority.
Antoine Griezmann has retired from France duty. Kylian Mbappé is absent, nursing a minor thigh injury in Madrid.
Kylian Mbappe extended his scoring streak with his sixth goal in five matches as Real Madrid defeated Alaves 3-2.
Kylian Mbappe finished his speech by asking the crowd to join him and chant "Hala Madrid" then kissed the club's shield and went around the Bernabeu kicking balls to the crowd in the stands.
French soccer sensation Kylian Mbappe took to social media on Friday (May 10) to announce his imminent departure from Paris Saint Germain, signaling an end to his "adventure" with the club in the coming weeks. While Mbappe did not directly mention Real Madrid in his video, widespread speculation suggests a potential move to the Spanish champions. The announcement comes after PSG's recent defeat by Borussia Dortmund in the Champions League semi-final. Since Qatar Sports Investment acquired a majority stake in PSG in 2011, the club has secured nine Ligue 1 titles but has yet to clinch the coveted Champions League trophy, a significant objective for its Qatari owners. Stay tuned for further developments on Mbappe's future destination and PSG's response.
Kylian Mbappe, 25, is set to join Spanish giants Real Madrid this summer. The star footballer has informed officials at Paris Saint-Germain (PSG) that he has no intention to renew his contract with the club and will depart as a free agent. Real Madrid's interest in the French player is not new, as they have been attempting to sign him since he was 11 years old. To find out more about why Mbappe has decided to leave PSG and join Real Madrid, watch this video.
Kylian Mbappe has told Paris Saint-Germain he will leave the club at the end of the season, a person with knowledge of the situation told The Associated Press.
Mbappe is mired in a contract standoff and was widely expected not to be in the squad after having been left out of the pre-season tour to Japan and South Korea. He trained apart from defending champion PSG's first-team regulars all week.