Liverpool have opened an 11-point gap between themselves and champions Manchester City.
The Reds, who finished with 10 men at Anfield, beat Brighton 2-1 on Saturday.
Virgil van Dijk scored both goals, before Lewis Dunk pulled one back, after Alisson Becker was sent off for handball.
In the early kick off, Manchester City were held to a 2-2 draw at Newcastle United.
Chelsea lost 1-0 to West Ham at Stamford Bridge, with Aaron Cresswell scoring the only goal in the second half.
Crystal Palace won 2-0 away at Burnley and Tottenham Hotspur saw off Bournemouth 3-2.