Alexander Isak scored his first goal for Liverpool while Hugo Ekitike was sent off after bagging a late winner as the hosts beat second tier Southampton 2-1 at Anfield to reach the fourth round of the Carabao Cup.
The Swede, a record £125million (€143.1m) signing from Newcastle United, opened his account in the 43rd minute - 38 seconds after Southampton's Adam Armstrong had hit the crossbar - off a Federico Chiesa pass.
Southampton hit back through Shea Charles in the 76th after a glaring error by midfielder Wataru Endo but Ekitike, who replaced Isak at halftime, maintained Liverpool's unbeaten start to the season with a winner four minutes from time.
He was then sent off for a second yellow after removing his shirt in celebration.
Club World Cup champions Chelsea suffered an early scare at third tier Lincoln City but came back from a shock goal down at half-time to win 2-1. Tyrique George and Facundo Buonanotte were on the scoresheet for the Londoners.
League One Cardiff City provided the upset of the eight games on the programme by beating top-flight Burnley 2-1 at Turf Moor while Wolves won the only all-Premier League clash by beating Everton 2-0, with Marshall Munetsi and Tolu Arokodare netting for the midlanders.
Paraguayan midfielder Diego Gomez scored four, including a 33 minute first-half hat-trick, as Brighton thumped third tier Barnsley 6-0 at Oakwell to reach the fourth round for the fifth time in six seasons.
Wrexham gave their Hollywood owners another home night to savour by beating Reading 2-0 while Fulham beat fourth-tier visitors Cambridge United 1-0 at Craven Cottage.
Wycombe sealed a safe passage through thanks to a comfortable 2-0 triumph at Wigan
Holders Newcastle United host Bradford City on Wednesday, when top-flight rivals Arsenal, Tottenham and Manchester City are also in action.
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