New signing Alexander Isak scored his first goal for the club just before halftime. Southampton's Shea Charles equalised in the 76th minute, but Liverpool's Hugo Ekitike, who had just been brought on, scored the winning goal in the 85th minute.
Ekitike, however, was immediately sent off for a second yellow card after removing his shirt in celebration.
Chelsea survive scare at Lincoln
Chelsea had to come from behind to avoid a major shock against League One Lincoln City, winning 2-1.
Rob Street gave the home side a deserved lead just before halftime after an uncharacteristic error from Enzo Fernández. However, whatever was said at the break worked wonders for the Blues.
Two quickfire goals from teenagers Tyrique George and Facundo Buonanotte early in the second half turned the tie on its head and secured Chelsea's progression.
Brighton's ruthless display at Barnsley
Brighton put on a commanding performance, thumping League One side Barnsley 6-0 at Oakwell.
The star of the show was Paraguay international Diego Gomez, who scored four goals, including a first-half hat-trick.
Gomez's impressive display, which included two spectacular long-range strikes, set the tone for a dominant win. Late goals from Harry Howell and Yasin Ayari sealed a comprehensive victory for the Seagulls.
Cardiff spring a surprise at Burnley
Championship side Cardiff City pulled off an upset, knocking out Premier League Burnley with a 2-1 victory at Turf Moor.
The Bluebirds took a deserved two-goal lead in the first half through Joel Colwill and Callum Robinson. Despite Zian Flemming pulling a goal back for Burnley after the break, Cardiff's resilient defence held firm.
The Welsh side managed the game expertly and celebrated a hard-fought win to advance to the next round.
Fulham edge past stubborn Cambridge
Fulham survived a potential cup upset against League Two Cambridge United, securing a narrow 1-0 win at Craven Cottage.
The home side struggled to break down a determined Cambridge defence for much of the match. However, Emile Smith Rowe, a summer signing, provided the crucial breakthrough in the second half, tapping in a Timothy Castagne cross. The goal was enough to send Marco Silva's side into the fourth round.
Wolves take down Everton
Wolverhampton Wanderers progressed to the next round of the Carabao Cup with a 2-0 win over Everton at Molineux.
Marshall Munetsi scored the opening goal for Wolves in the first half after a save from Everton's goalkeeper was parried into his path.
Substitute Tolu Arokodare sealed the victory for the home side with a goal late in the game, securing a comfortable win and a spot in the fourth round.
Chelsea's season took another dramatic turn at Stamford Bridge on Saturday as a booed and bewildered side somehow emerged with a 3-2 victory over West Ham, powered by a second-half transformation sparked by Liam Rosenior's bold use of his bench.
Arne Slot hailed Liverpool's most complete performance in weeks after Hugo Ekitike struck twice in a devastating 4-1 comeback win over Newcastle that lifted the champions into fifth place in the Premier League.
Liam Rosenior said Chelsea's London derby against West Ham would reveal the true character of his squad as the Blues prepared for what he called their biggest match of the season.
Arne Slot has urged Liverpool to cut out mistakes as they prepare for a decisive Premier League clash with Newcastle United, with the Reds boss admitting the race for the top four has reached a critical stage.
