Just over an hour into the match at Anfield, Leeds equalized to 3-3 after a fine performance from Mateusz Klich.
He received the ball and shot with the outside in the same action.
The ball sat nicely behind Alisson.
Then Leeds looked to get a point against defending champions Liverpool.
But a late penalty kick gave the home team three points.
It was the second time referee Michael Oliver gave Liverpool a penalty in the match.
Mo Salah stepped forward and was cool when he sent in 4-3.
That was his third goal of the match.
Goal-scoring first half
Leeds got off to a rough start in their return to the Premier League.
After a few minutes, referee Michael Oliver blew for a penalty for Liverpool.
Mo Salah dunkade in 1-0.
The goal stood for just under ten minutes.
Then Leeds equalized.
Jack Harrison appeared on cue near the post, and steered it past the goalie.
Virgil van Dijk gave Liverpool the lead on a corner.
But Leeds equalized to 2-2 through Patrick Bamford.
However, the goal-mad first half ended in Liverpool's favor.
Salah scored his second goal in minute 33. He offered a projectile that looked high into the net of Leeds' goal cage.