It was another day of drama as Chelsea became the first team for nine years to avoid a Premier League defeat after being three goals down at half-time and Manchester United rocked Brighton and Hove Albion.
West Brom led Frank Lampard's side 3-0 after only 27 minutes, but Tammy Abraham's stoppage-time goal rescued a 3-3 draw at The Hawthorns.
A Bruno Fernandes penalty 10 minutes into stoppage time snatched a 3-2 victory for United at Brighton following a VAR check, which took place after the final whistle had blown, for handball against Neal Maupay.
Everton have made their best start to a season for 27 years after a controversial 2-1 win at Crystal Palace, while Southampton striker Danny Ings scored the only goal of the game at his former club Burnley.
With help from Opta data, here is a recap of the four fixtures to take place on a pulsating Saturday.
Brighton and Hove Albion 2-3 Manchester United: Fernandes stuns luckless Seagulls
To say it was one of those days for Brighton would be a massive understatement, with Fernandes snatching all three points from the penalty spot right at the death.
The midfielder, who has now been involved in 17 goals in 16 Premier League games (9 goals, 8 assists), slotted in the latest goal in the top flight since Juan Mata's strike for Chelsea against Norwich City after 100 minutes and three seconds nine years ago.
Brighton hit the woodwork five times, more than any team since Opta started recording the data in 2003-04, and were left to rule their luck after it seemed Solly March had secured a draw five minutes into time added on.
Leandro Trossard was particularly unfortunate, becoming the first player to hit the woodwork in a Premier League match three times since Cristiano Ronaldo versus Newcastle United in 2006.
Lewis Dunk will also want to forget the five-goal thriller in a hurry, having scored his fifth own goal in the competition - two more than any other player since his Premier League debut in August 2017.
Crystal Palace 1-2 Everton: Richarlison keeps Toffees perfect
Everton have won their first three games of a Premier League season for the first time since the 1993-94 campaign but they were fortunate to beat Palace.
All the goals came in the first half at Selhurst Park, the in-form Dominic Calvert-Lewin putting Carlo Ancelotti's side in front to become the first player to score in each of Everton's opening three games of a season since Steven Naismith six years ago.
Cheikhou Kouyate brought Palace level but Richarlison won it with a penalty after a hugely contentious decision saw Joel Ward adjudged to have handled.
Brazil striker Richarlison has scored 31 of his 32 Premier League goals from inside the penalty area and the winner was his first from the spot in the competition. One concern for Everton is that they have shipped more goals (18) from set-pieces than any other side since the start of last season.
West Brom 3-3 Chelsea: Abraham completes comeback after Blues' defensive horror show
Chelsea looked to be heading for back-to-back defeats when a Callum Robinson double and Kyle Bartley put Albion three up.
Marcos Alonso and Premier League debutant Thiago Silva gave the Baggies a big helping hand with errors that took Chelsea's number of mistakes directly leading to goals this season to three, as many as they made in the entire 2019-20 campaign.
The Blues have only kept one clean sheet in 21 Premier League away games under Frank Lampard, while they have conceded more goals (42) on their travels than any other side since the start of last season.
They were able to salvage a point, though, courtesy of second-half goals from Mason Mount, Callum Hudson-Odoi and Abraham.
Slaven Bilic's side are the first team to ship 11 goals in the opening three games in the top flight since Arsenal in 1963-64 (12).
Burnley 0-1 Southampton: Ings returns to haunt toothless Clarets
Prolific striker Ings was on target early on to give Southampton their first Premier League points of the season.
It was Saints' first win at Turf Moor in the league since back in 1971, ending a six-match winless run.
Burnley fans will not want to know that the last time they lost their opening two matches of a Premier League season was in a 2014-15 campaign that saw them relegated.
The 400th match of Sean Dyche's managerial career proved to be one to forget, with Ings netting his 10th goal in 12 Premier League appearances since the resumption in June following a hiatus due to the coronavirus pandemic.