Liverpool heads into the international break five points clear at the top of the Premier League after a 2-0 win at home against Aston Villa, coupled with Manchester City's 2-1 defeat away to Brighton.
Liverpool gave a display of counter-attacking football, with Darwin Nunez opening the scoring in the 20th minute after Liverpool won possession from an Aston Villa corner. Mohamed Salah brought the ball out for the Uruguayan to fire over goalkeeper Emiliano Martinez from a narrow angle.
Salah scored Liverpool's second in the 84th minute after Liverpool again won the ball in midfield and caught their rivals flat-footed.
Manchester City has now lost four consecutive games after Brighton fought back from Erling Haaland's first-half opener. Joao Pedro poked in Danny Welbeck's assist in the 78th minute, and Matt O'Riley sealed the win by rifling home Pedro's pass seven minutes from time.
Chelsea and Arsenal drew 1-1 on Sunday evening. Martin Odegaard returned to action for Arsenal after injury, providing an assist for Gabriel Martinelli to put the visitors ahead in the 60th minute.
Pedro Neto equalized 10 minutes later with a thunderbolt, and the game ended with Arsenal's Bukayo Saka going off injured before Leandro Trossard missed a chance to score the winner for Arsenal two minutes from time.
Nottingham Forest took the lead at home against Newcastle United thanks to Murillo's excellent finish, but Newcastle, who entered the weekend third in the standings, staged a fightback after the break.
Alexander Isak equalized after 54 minutes with his fourth goal in four games, Joelinton put Newcastle ahead with a left-footed shot in the 72nd minute, and Harvey Barnes added a third on the break.
Manchester United won Ruud van Nistelrooy's last game as interim coach before Ruben Amorim's arrival, beating Leicester City 3-0 at home.
Bruno Fernandes opened the scoring and was heavily involved in the second goal, which deflected off defender Victor Kristiansen. Fernandes then provided the assist for Alejandro Garnacho to round off the scoring in the 82nd minute.
Ipswich Town took its first win of the season with a 2-1 victory away to Tottenham, thanks to first-half goals from Sam Szmodics and Liam Delap, holding on after Rodrigo Bentancur pulled a goal back for Spurs in the 69th minute.
Fulham won 2-0 away to Crystal Palace, with Emile Smith Rowe netting from Raul Jimenez's assist in first-half injury time before substitute Harry Wilson added the second eight minutes from time.
Wolverhampton Wanderers claimed a vital first win of the season, defeating Southampton 2-0. Pablo Sarabia scored an early opener, and Matheus Cunha added a powerful second with a shot into the corner six minutes after the break.
Brentford won a thrilling match 3-2 at home against Bournemouth. Evanilson and Justin Kluivert twice put Bournemouth ahead, but Yoane Wissa and Mikkel Damsgaard twice equalized before Wissa's second goal gave Brentford all three points with over half an hour remaining.
West Ham United and Everton drew 0-0 in a game that highlighted both sides' struggles at the wrong end of the table.