Everton secured back-to-back wins for the first time this season and reached the last 16 of the EFL Cup with a nervy win over Premier League rivals Aston Villa at Villa Park.
Andrew Moran scored a brace and assisted two as Blackburn put in a thrilling second-half performance to thrash Cardiff at Ewood Park.
Dominic Solanke and Joe Rothwell scored inside three second-half minutes as Bournemouth overcame Championship Stoke to reach the last 16.
Reiss Nelson scored his first goal of the season as Arsenal beat their London rivals 1-0, with Aaron Ramsdale keeping a clean sheet for the Gunners on his return to the starting line-up.
Chelsea reached the fourth round of the EFL Cup with Nicolas Jackson scoring the decisive goal in the 51st minute, as Brighton were left to rue numerous missed chances at Stamford Bridge.
Alex Iwobi scored after making his first start for Fulham as they edged out Championship Norwich, who had more shots on target at Craven Cottage.
A second-half strike from Tomas Soucek was enough for West Ham to avoid a scare against League One Lincoln and reach the last 16 of the EFL Cup.
Liverpool came from behind to beat Leicester at Anfield with Dominik Szoboszlai scoring a sensational second-half goal for the Reds.
Man City crashed out of the EFL Cup with a much-changed side falling to an inspired second-half performance from Newcastle.