Brighton & Hove Albion showed Luton Town what the Premier League is all about with a 4-1 win at Amex Stadium.
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Kaoru Mitoma set up Solly March to score a first-half opener before Joao Pedro won and converted a penalty after the break on his Brighton debut. March has now scored more goals under Roberto De Zerbi than any other Brighton player, with eight.
Carlton Morris, Luton's top scorer in the Championship last season, scored their first Premier League goal, also from the penalty spot, to give them late hope.
But Luton were punished for a defensive error, with Simon Adingra scoring on his Premier League debut before substitute Evan Ferguson wrapped up the three points.
See: Arsenal start title bid with nervy win over Forest
Wasteful Everton taste opening defeat
Everton failed to take their chances as they fell to a 1-0 defeat to Fulham at Goodison Park.
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Second-half substitute Bobby De Cordova-Reid scored in the 73rd minute to punish a host of missed opportunities from the Toffees.
Neal Maupay was thwarted by Bernd Leno after being played in on goal, Nathan Patterson struck the bar while the scoreline was still goalless, and James Tarkowski came close to finding the bottom corner with a header.
Everton also had a goal ruled out in the first half after Michael Keane put the ball into an empty net but the referee deemed that Leno was fouled in the build-up.
After securing Premier League safety in the final match of last season, it was not the start to 2023/24 that Sean Dyche or the Everton faithful were looking for. They next face Aston Villa.
One goal enough for Palace
Crystal Palace enjoyed a winning start to the season for the third successive time under Roy Hodgson, beating Sheffield United thanks to Odsonne Edouard's goal four minutes into the second half at Bramall Lane.
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It was a contest that Palace dominated throughout as they registered 24 shots and had over 67 per cent possession.
The victory continues their excellent form since Hodgson’s return, winning six of their last 11 matches under him, losing only twice in that time.
Solanke helps Iraola to draw
AFC Bournemouth came from behind to earn a 1-1 draw with West Ham United in Andoni Iraola's first Premier League match.
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Jarrod Bowen put the Hammers in front thanks to an excellent curling strike from the edge of the area.
Dominic Solanke levelled in the 82nd minute after showing excellent composure to round Alphonse Areola.
Bournemouth were good value for their point, having more shots on target and dominating possession.