Mbappé leads a night of braces across Europe and Pulisic returns for AC Milan

Kylian Mbappé has scored twice to help a jittery Real Madrid beat Rayo Vallecano 4-1 in a game where José Mourinho's team struggled to defend in La Liga

BARCELONA, Spain -- BARCELONA, Spain (AP) — Kylian Mbappé scored twice in a jittery Real Madrid victory in La Liga while Christian Pulisic played his first game since the World Cup and helped AC Milan rally for a draw in Serie A on Saturday.

Liverpool and Chelsea stumbled again and leader Arsenal won in the Premier League .

Borussia Dortmund and Freiburg remained perfect in the Bundesliga, while Monaco dropped points for the first time in Ligue 1.

Mbappé scored the first and last goals of Real Madrid’s 4-1 win over Rayo Vallecano.

Mbappé converted a 14th-minute penalty after Florian Lejeune made a rash tackle of Álvaro Carreras. Lejeune was again to blame when his poor pass was intercepted and led to Mbappé assisting Carreras to make it 2-0. Jude Bellingham slotted the third goal in the 35th.

But modest Rayo took the initiative at the Santiago Bernabeu after halftime, dominating the ball for stretches and finding holes in Madrid’s new-look defense.

Sergio Camello poked home a goal in the 51st, moments after Pedro Díaz hit the post and drew the first of several saves from Thibaut Courtois. The Belgium goalkeeper had to bail out Madrid again, parrying more shots by Lejeune and Heorhii Tsitaishvili.

That was too much for many of the home fans, who whistled the dip in performance by José Mourinho’s side — until Mbappé found the corner in stoppage time.

His double pulled the France striker level with Barcelona’s Raphinha and Rayo’s Camello with six goals apiece in five rounds in La Liga.

Pulisic helped to spark AC Milan’s comeback at Lazio for a 2-2 draw in the United States midfielder’s first appearance for his Italian club this season.

Pulisic and Diego Moreira were sent on at halftime by coach Rúben Amorim with Milan trailing by two goals in Rome.

They both linked up to spark a rally. Pulisic lobbed a pass to the far post for Moreira to smash in his first goal in the 65th. Moreira needed just two more minutes to fire a second goal in from distance and split the points.

Pulisic had not played since he sustained a bone bruise along with microfractures to his tibia and fibula when the U.S. exited the World Cup in a loss to Belgium in July.