Manchester City endured some anxious moments but escaped from fourth-tier Newport County with their FA Cup hopes intact as Phil Foden scored twice in an ultimately comfortable 4-1 fifth-round victory on Saturday.
Harry Kane became Tottenham's joint fifth highest scorer as he helped his side earn a 2-1 Premier League victory over Brighton & Hove Albion on Saturday.
Leicester City have returned to the Premier League for the first time since 2004 despite not kicking a ball on Saturday after Queens Park Rangers and Derby County both lost.
Brighton kept a disciplined formation, frustrating Liverpool and as the second half wore on the home side began to lose their fluency.
The hosts had looked on course to take all three points from a drab match when Anthony Knockaert pounced on a loose ball and fired home eight minutes from full-time.
Images from the EPL matches played on Saturday
Manchester United climbed back up to second in the table after second-half goals by Anthony Martial and Jesse Lingard earned a 2-0 victory at Everton -- their first win in five games in all competitions.
Images from the FA Cup matches played on Saturday
Harry Kane's 101st Premier League goal was the difference as Tottenham Hotspur earned a 1-0 win over Arsenal, to continue their fine recent form in north London derbies in front of a Premier League record crowd at Wembley on Saturday.
IMAGES from the English Premier League matches played on Saturday
Images from the English Premier League matches played on Saturday
IMAGES from the EPL matches played on Saturday