Lacazette had just come on when Bukayo Saka turned from inside his own half and made a superb run down the right before pulling the ball back to him.
The draw ensured Liverpool will finish Saturday back on top of the standings, with Tottenham able to reclaim first place by avoiding defeat at Chelsea on Sunday.
Brighton took an early lead through Danny Welbeck's first goal for the club on a counter-attack in the 12th minute, but Ezri Konsa leveled for Villa a minute into the second half.
A lead protected this time, Jose Mourinho’s side climbed to second in the Premier League on the day his former club Manchester United lost 1-0 at home to Arsenal.
Brighton took the lead five minutes before halftime when an attempted clearance from Branislav Ivanovic rebounded off Jake Livermore and into the back of the net.
Argentine substitute Alexis Mac Allister's shot from the edge of the area ricocheted off Palace defender Gary Cahill and into the corner of the net as Brighton's pressure finally got its reward at an empty Selhurst Park.
The 29-year-old Welbeck was available on a free transfer following the expiration of his contract at Watford where he scored three goals in 20 appearances last season as the team was relegated from the Premier League.
Everton beat Brighton 4-2 in the Premier League on Saturday for a fourth successive win at the start of the Premier League season.
United was awarded a spot kick after Harry Maguire’s header deflected off the outstretched hand of Neal Maupay, and Fernandes found the corner of the net to secure a win even the visitors might think was fortunate.
Around 2,500 fans — spaced out to abide by coronavirus social distancing — were allowed into Brighton's stadium on the south coast of England.
The game will take place at Brighton’s Amex Stadium, with 2,500 tickets being made available for fans, the club said Wednesday.
Adam Lallana signed for Brighton and Hove Albion after six years at Liverpool, winning the Premier League in his final season at Anfield.
Tottenham have started to plan for the future with 33-year-old center back Jan Vertonghen leaving after eight years and 21-year-old Japhet Tangang signing a new five-year deal.
Gabriel Jesus and Bernardo Silva also were on target to help City emphatically end a run of three straight away losses.
Leandro Trossard's goal in the 25th minute was enough to earn Brighton its second victory in four matches since the restart of the league
The 25-year-old January signing has now scored in two of the three Premier League games since the season resumed after the three-month pandemic-enforced suspension.
Brighton vs Manchester United Premier League Live Streaming in India: Here are the details of when and where to watch live football match between Man United and Brighton live online and on television.
Arsenal faced a 2-1 defeat to Brighton and Hove Albion as the side faced second-successive loss since the league's restart.
Brighton vs Arsenal, Live Streaming Premier League in India: Here are the details of when and where to watch BRI vs ARS live football match online and on Television.
As players were suddenly ordered home and stadiums emptied, Brighton became a voice of the league during the three-month coronavirus pandemic shutdown.
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