Chelsea 1-0 Southampton
Chelsea wasted a number of chances but managed to record a 1-0 win over Southampton at Stamford Bridge.
The game's only goal arrived just before the haltime break courtesy of a free-kick from Marcos Alonso.
Arsenal 1-0 Newcastle United
Arsenal returned to winning ways in the Premier League with a 1-0 victory over struggling Newcastle United at the Emirates Stadium.
Mesut Ozil scored a superb volley in the first half, which secured three points for the Gunners.
Leicester City 0-3 Crystal Palace
Crystal Palace claimed their first away win of the season after defeating Leicester 3-0 at the King Power Stadium.
Christian Benteke, Wilfried Zaha and Bakary Sako were among the goals for Palace, while the Foxes had Wilfried Ndidi sent off after 61 minutes.
Brighton Hove & Albion 0-0 Burnley
Brighton centre forward Glen Murray spurned the best chance of the match as he blazed is penalty attempt high over the bar as the Seagulls and Burnley were both forced to settle for a point in an entertaining 0-0 that took place at the Amex Stadium.
No fewer than 23 shots on goal attempted in a lively match that had everything barring a goal with both goalkeepers starring in the process
Stoke City 0-3 West Ham United
Marco Arnautovic came back to haunt his former employers as the Austrian along with the West Ham skipper Mark Noble and substitute Diafra Sakho secured three crucial points for the Hammers in their 3-0 away win at the Bet 365 Stadium on Saturday.
Watford 1-4 Huddersfield
Marco Silva side endured their second defeat in as many games, as a straight red card to captain Troy Deeney, capped off a miserable week for the Hornets as visitors Huddersfield secured their first away win of the season with a comfortable 4-1 victory at Vicarage Road.
Goals for the Terriers were scored by Elias Kachunga, Aaron Mooy (2) and Frenchman Laurent Depoitre whilst Abdoulaye Doucouré replied for the home side in a match were both sides ended the match with 10 men after Jonathan Hogg received his marching orders in the 61st minute with the damage already been inflicted on the Hornets before the halftime interval.