Second-placed City would have reduced Arsenal's advantage to two points but instead were frustrated as their winning streak in all competitions was halted at eight.
Arsenal snapped a season-long jinx against Newcastle United with a nervy 1-0 win in their last Premier League home game on Sunday.
Marcus Rashford and Joshua Zirkzee bagged two goals apiece as Manchester United thumped Everton 4-0 on Sunday in new manager Ruben Amorim's first Premier League match at Old Trafford.
Images from the Premier League match between Manchester United and Fulham, at Old Trafford, on Friday
Fulham fought back from a goal down to claim a 2-1 win over Arsenal on Sunday when strikes from Raul Jimenez and Bobby De Cordova-Reid foiled Bukayo Saka's early goal.
All the action from soccer matches played in Europe on Monday.
Kevin de Bruyne struck twice to inspire Manchester City to a dominant 4-2 win at Crystal Palace on Saturday and move the champions level on points with Liverpool at the top of the Premier League table.
Images from the Premier League matches played on Saturday, March 9.
The defeat halted Brighton's impressive three-game winning streak which included a 4-1 win over Chelsea and a 3-1 victory at Arsenal in the League Cup on Wednesday.
Images from Saturday's matches in the Premier League.
IMAGES from the EPL matches played on Sunday
Philippe Coutinho thumped home a second-half winner as Liverpool broke the resistance of Championship Blackburn Rovers to reach the FA Cup semi-finals with a gritty 1-0 replay victory on Wednesday.
Manchester United eased the pressure on manager Ole Gunnar Solskjaer with a 3-1 win at Everton in the Premier League on Saturday with Bruno Fernandes scoring twice and Edinson Cavani grabbing his first for the club.
Top-class goals from Bernardo Silva and Sergio Aguero took Manchester City back to the top of the Premier League in a 2-0 win over Fulham at Craven Cottage on Saturday.
A summary of Saturday's matches in the English Premier League.