The game was played at Anfield Stadium and ended 1-1.
Wilfrid Zaha (32nd minute) scored for Crystal Palace.
At Liverpool, the ball was scored by Luis Diaz (61st).
Liverpool striker Darwin Nunez received a red card in the 57th minute.
Earlier it was reported that Chelsea and Tottenham were unable to determine the winner in the London derby in the second round of the Premier League.