Nathan Redmond netted a brace as Southampton saw off Championship opponents Bournemouth, with Moussa Djenepo rounding out the scoring for the Saints.
Man City left it late to beat Everton, meanwhile, with Ilkay Gundogan and Kevin De Bruyne finding the net in the final six minutes at Goodison Park.
An Oliver Norwood own goal and added-time Hakim Ziyech strike sealed Chelsea’s victory over Sheffield United.
A Kelechi Iheanacho double was pivotal in Leicester’s win against Man United, with Youri Tielemans also scoring for Brendan Rodgers’ side.
Join our new commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies