Chelsea's big-money signing Kai Havertz bagged a hat-trick as Frank Lampard's men thrashed Barnsley 6-0 at Stamford Bridge on Wednesday night.
The hosts raced into a two-goal lead in the first half thanks to strikes from Havertz and the returning Tammy Abraham.
Ross Barkley added his name to score-sheet shortly after the halftime break before Havertz went on to bag his second and third goals before 65 minutes.
Olivier Giroud added the sixth goal for the Blues, who will face either Leyton Orient or Tottenham Hotspur in the next round.
Arsenal continued their winning start to the season after defeating Leicester City 1-0 at the King Power Stadium.
Mikel Arteta decided to rest Pierre-Emerick Aubameyang and Alexandre Lacazette, while there was still no place for Mesut Ozil or Matteo Guendouzi.
The game's opening goal arrived in the 57th minute via a Christian Fuchs own goal while Eddie Nketiah wrapped up the win in the 90th minute.
The North London will do battle with either Lincoln City or Liverpool in the fourth round.
Preston North End 0-2 Brighton Hove Albion
Fulham 2-0 Sheffield Wednesday
Millwall 0-2 Burnley
Stoke City 1-0 Gillingham
Morecambe 0-7 Newcastle United
Fleetwood Town 2-5 Everton
