Arsenal and Liverpool drew 0-0 in an entertaining encounter on Monday night at the Emirates.
The two goalkeepers were the stars of the show, with Petr Cech brilliantly denying Christian Benteke and Philippe Coutinho in the first half.
In the second half, it was the turn of Simon Mignolet to make an excellent save as he denied Olivier Giroud, with Alexis Sanchez also hitting the post for the Gunners. Aaron Ramsey also had a goal chalked off in the first half for a controversial offside call.
The result means Arsenal have four points from three matches, while Brendan Rodgers’ Reds are still unbeaten, with seven points.
Bournemouth secured their first ever Premier League win with a stunning 4-3 win over West Ham at Upton Park.
Callum Wilson netted a hat-trick for the Cherries – the first two goals of which gave the visitors a 2-0 lead at half-time.
The Hammers responded in the second half to get level with Mark Noble netting from the penalty spot and Cheikhou Kouyate finishing.
Marc Pugh put Bournemouth back in front before Wilson completed his hat-trick from the spot after Max Gradel was brought down by Carl Jenkinson, who saw red.
Modibo Maiga pulled one back late on but it was too late to prevent a historic victory for Eddie Howe’s men.
Manchester City maintained their 100% record this season with a solid 2-0 win over Everton at Goodison Park. Aleksandar Kolarov gave the visitors the lead from a tight angle before substitute Samir Nasri wrapped up the points late on.
Chelsea got their first win of the season in a thrilling 3-2 win over West Brom at the Hawthorns.
Pedro netted on his debut, after James Morrison’s penalty was saved by Thibaut Courtois, before Diego Costa then doubled the lead.
Morrison made amends when he pulled one back but Cesar Azpilicueta then made it 3-1, before West Brom’s Scotland international got his second just after John Terry was dismissed for pulling down Salomon Rondon.
Crystal Palace beat Aston Villa 2-1 at Selhurst Park for their second win of the season.
Scott Dann headed them in front but just six minutes later Villa were level after Pape Souare deflected into his own net after good work from Adama Traore on his debut.
However, with just three minutes left Bakary Sako struck on his debut to secure all three points.
Leicester remained unbeaten this season and Spurs remained winless as the sides drew 1-1 at the King Power Stadium.
The two goals were separated by a minute, with Dele Alli netting his first Spurs goal before Riyad Mahrez brilliantly struck his fourth in three games to equalise.
Sunderland secured their first point of the season with a 1-1 draw at home to Swansea.
Bafetimbi Gomis netted for the third successive game to put the Swans ahead, before Jermaine Defoe netted an equaliser in the second half.
Stoke and Norwich played out a 1-1 draw at Carrow Road.
Mame Biram Diouf put the visitors ahead, heading in debutant Xerdan Shaqiri’s free-kick, before Russell Martin struck an equaliser for the Canaries.
Manchester United and Newcastle United shared a goalless draw at Old Trafford.
Both sides hit the woodwork, with Aleksandar Mitrovic hitting the bar for the visitors and Chris Smalling hitting the post late on for the home side.
Watford drew for the third successive game this season in a goalless game with Southampton at Vicarage Road.
Etienne Capoue had the best chance of the game, but he headed over from two yards out.
Team of the Week: Bournemouth
Player of the Week: Callum Wilson (Bournemouth)
Goal of the Week: Riyad Mahrez (Leicester)