Vitaliy Mykolenko's 39th-minute own goal had put Luton ahead before Jack Harrison cheered the Everton faithful with an equaliser in the 55th minute, hammering in a low shot that Luton keeper Tim Krul allowed to let slip through his hands.
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.
In Conte's absence, Stellini guided Spurs to wins over Manchester City, West Ham United and Chelsea.
IMAGES from the Premier League matches played on Saturday
For the only eighth time in Premier League history, the title will be decided on the final day
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 the English Premier League matches played on Saturday
IMAGES from the English Premier League matches played on Saturday.
Five images from last week's action in Europe for you to savour.
IMAGES from EPL matches played on Saturday.
City were due to open their season against Aston Villa and United against Burnley but those games will be moved.
'We are a team and a group on the pitch. Of course, it's our responsibility what happened.'
Manchester City took another decisive step toward an unprecedented fourth successive Premier League title with a 4-0 demolition of Fulham.
Fulham's home game against Brighton & Hove Albion on Wednesday has also been pushed behind closed doors, while West Ham United too will host Crystal Palace without spectators on the same day.
Images from the English Premier League matches played on Sunday night.
Brighton and Hove Albion's Tomer Hemed grabbed the only goal as they ended Newcastle United's three-match winning streak with a 1-0 victory on Sunday in a battle between two of this season's promoted sides.
Chess grandmaster Magnus Carlsen's knack for complex strategy has helped steer him into the upper echelons of an unlikely competition -- fantasy football. The Norwegian stands third on the Premier League's official fantasy football competition (FPL), only being knocked off top spot on Monday after Crystal Palace's 1-1 draw against Brighton and Hove Albion.
A Sergio Aguero hat-trick helped Manchester City get back to winning ways in the Premier League with a 3-1 victory over Newcastle United, as they stayed 12 points ahead of Manchester United who had to dig deep to secure a 1-0 win at Burnley.
Images from the English Premier League matches played on Sunday
'United can change nothing or everything, so it's tricky preparation-wise, but it's early and we don't have a lot of info. It's tough... United away will never be easy.' Liverpool manager Juergen Klopp says wounded Man Utd will not be easy to play.
IMAGES from the Premier League matches played on Tuesday.
A summary of Saturday's action in the Premier League.
Holders Liverpool survived a penalty shootout to see off third-tier Derby County
Images from the English Premier League matches played on Sunday
IMAGES from the Premier League matches played on Saturday.
Manchester City roared back to the top of the Premier League with a 6-1 thrashing of Bournemouth after Manchester United steadied the ship
West Ham United and Chelsea both narrowly avoided ignominious FA Cup exits with narrow wins against lower-league opposition but Everton marked Frank Lampard's first game in charge by sauntering past Brentford into the fifth round on Saturday.
The Premier League found a record 42 cases of COVID-19 among players and staff at various clubs over the past week.
Two goals from Eden Hazard helped Chelsea cruise to a 4-0 victory at Brighton & Hove Albion in the English Premier League on Saturday for their first league win of 2018.
Images from Saturday's action in the Premier League.
Images from the English Premier League matches played on Saturday night.
DeAndre Yedlin has joined Championship (second tier) side Newcastle United on a five-year deal from Tottenham Hotspur for an undisclosed fee, the clubs have announced.
Haaland now has an astonishing 42 goals for City since joining from Borussia Dortmund last June.
Solskjaer said he showed faith in his young strikers after allowing Romelu Lukaku to join Inter Milan in August.
Manchester City and Arsenal closed in on Premier League leaders Liverpool with contrasting victories on Saturday as Manchester United's bubble was burst by Fulham.
Chelsea manager Graham Potter and his family have received anonymous death threats following the English Premier League club's poor run of results.
Brighton's Potter urges players to get vaccinated after family member's COVID death.
'It would be very difficult to relegate somebody, particularly from the Premier League, if the season hasn't played out'
Jose Mourinho's side top Group G with a maximum nine points, three clear of second-placed Slavia.