Diogo Jota and Cody Gakpo scored two goals apiece as holders Liverpool thrashed West Ham United 5-1 at Anfield, while Arsenal saw of Bolton to cruise into the fourth round of the League Cup.
Mohamed Salah was also on target for Liverpool who fell behind and endured some nervy moments before pulling away for a comfortable victory.
Arsenal crushed third-tier Bolton Wanderers 5-1 in the evening's other League Cup tie.
West Ham, who were reduced to 10 men when Edson Alvarez was shown a second yellow card in the 76th minute, opened the scoring at Anfield when Wataru Endo's attempt to clear a corner ricocheted off Jarell Quansah and past keeper Caoimhin Kelleher for an own goal.
The Hammers' celebrations were short-lived as Jota equalised four minutes later, leaping to head home Federico Chiesa's acrobatic volley.
Jota netted his second in the 49th minute when Curtis Jones slotted a reverse pass to the Portuguese player who scored into the bottom corner.
Talisman Salah made it 3-1 in the 74th when he knocked in the rebound off Alexis Mac Allister's shot, and then Alvarez was sent off two minutes later following a late challenge.
Gakpo added to Liverpool's lead with goals in the 90th and 93rd minutes, his first a fantastic strike from 17 yards out after a one-two with Darwin Nunez.
Arsenal's Ethan Nwaneri scored twice, the 17-year-old's first goals for the club, while Raheem Sterling netted his debut goal for the Gunners. Declan Rice and Kai Havertz also scored at the Emirates Stadium, while Aaron Collins netted Bolton's lone goal.