Roberto Firmino:
He may not be quite what he once was, but don't ever doubt Roberto Firmino's importance to Liverpool.
The Brazilian was the man who dragged Klopp's side back into this contest, scoring twice to cancel out Brighton's early lead. He now has five goals for the season, almost halfway towards his tally of 11 in all competitions last term.
First, he followed up well after Mohamed Salah had touched the ball across goal from Jordan Henderson's clipped pass before half-time. Then, after the break, he was there to collect a square pass from substitute Luis Diaz, showing great feet and composure to slam home left-footed for 2-2.
He got a standing ovation when replaced by Diogo Jota, 15 minutes from time, and the noise would have been even louder had he converted a great chance for his hat-trick from Henderson's volleyed cross.
Leandro Trossard:
There are some days that just go your way, and for Trossard this was most certainly one of those.
With three left-footed strikes, Brighton's brilliant Belgian became only the third visiting player to score a hat-trick at Anfield in the Premier League.
Not since Andrey Arshavin, who scored four times here for Arsenal in 2009, has anyone stunned Liverpool fans quite like this. Peter Ndlovu, for Coventry in 1995, is the other player to record a treble on this famous old ground.
Trossard has his eye on a starting spot for Belgium at the World Cup, and his early-season form must be surely be catching Roberto Martinez's eye. He was superb here, quick of foot and mind, causing untold problems for Trent Alexander-Arnold with his movement and, when the chances came, clinical with his finishing.
He had to be, to beat Alisson Becker, who was in superb form for Liverpool. The Brazilian could scarcely believe he had to pick the ball out of his net three times, but the embrace he gave Trossard at the end said it all.
Respect, for a superb performance.
Luis Diaz:
It's easy to say with hindsight, but what might have happened had the Colombian started this game?
Jurgen Klopp had erred on the side of caution by leaving Diaz, as well as Darwin Nunez and Diogo Jota, on the bench here. The winger had only trained with the team once prior to this game, having returned from international duty late on Thursday morning.
Klopp's preference would have been to rest him entirely, but with Liverpool 2-1 down at half-time, up went the Bat Signal. Diaz was summoned, replacing the ineffective Fabio Carvalho, and immediately we saw what the Reds had been lacking.
He set up their equaliser for 2-2, breaking away down the left and picking the right pass for Firmino to score, and his work-rate, physicality and purpose ensured Brighton were kept on the back foot for much of the second half.
It should have been a match-winning cameo, but Trossard had other ideas.