Luis Diaz grabbed his second goal for Liverpool and Mohamed Salah was on the scoresheet as the Reds overpowered Brighton to cut the gap on Manchester City.
Diaz met a brilliant clipped pass from Joel Matip to head beyond Robert Sanchez before he was clattered into by the Spanish goalkeeper, who avoided a red card for the challenge.
Diaz's opener put an end to Brighton's impressive first 15 minutes at the Amex and ushered in a period of dominance for the visitors which was largely unwavering throughout the rest of the contest.