Liverpool proved too strong for Bournemouth after clinching a 3-0 win at Anfield.
Sadio Mane opened the scoring after seven minutes before Mohamed Salah doubled their lead on 69 minutes.
Roberto Firmino rounded off the scoring for the Reds in the 89th minute.
Crystal Palace and Brighton dished up a five-goal thriller at Selhurst Park on Saturday as the Eagles hung on to win an entertaining clash 3-2.
Goals by Zaha and James Tomkins put Palace in a commanding position within the first quarter of an hour before Glen Murray pulled one back for the Seagulls.
Zaha smashed in his second and the Eagles' third but with 10 minutes remaining of the first half, Colombian forward Jose Izquierdo pulled one back as Palace led 3-2 at half-time, which is how it eventually finished.
Burnley put Leicester City to the sword within the first 10 minutes of the match as the home side cruised to a 2-0 lead against at Turf Moor.
This, after the Clarets forward Chris Wood opened the scoring for the hosts on six minutes before Kevin Long met an excellent ball from Johann Berg Gudmundsson to double their lead.
Jamie Vardy netted the consolation for the visitors.
Jordan Ayew rescued a point for Swansea City as they drew 1-1 with Everton at Liberty Stadium on Saturday.
Ayew smartly got onto the end of a Tom Carroll ball to beat Everton goalkeeper Jordan Pickford after Kyle Naughton's own goal handed the Toffees the lead in the first half.
Tom Ince’s 91st-minute winner sealed a remarkable late 1-0 victory for Huddersfield against Watford at the John Smith Stadium.