An own goal by Jakub Kiwior and a thumping late strike by Luis Diaz sealed a 2-0 victory for Liverpool at Arsenal in the weekend's headline FA Cup third round tie as the hosts' dismal form extended into the New Year on Sunday.
Arsenal wasted a sackful of chances in the first half and were made to pay as Liverpool captain Trent Alexander-Arnold's free kick glanced off the head of Kiwior in the 80th minute.
Diaz then made sure of eight-time winners Liverpool's place in the fourth round draw as he lashed home in stoppage time.
Earlier on Sunday holders Manchester City romped to a 5-0 victory over second-tier Huddersfield Town with Phil Foden scoring twice and Belgian playmaker Kevin De Bruyne returning to action after a four-month injury layoff. Arsenal have now lost three games in a row in all competitions and the wayward finishing that has seen them drop down to fourth in the Premier League was evident again as they squandered a flurry of first-half chances.
Reiss Nelson latched on to a punt forward by Arsenal keeper Aaron Ramsdale in the fourth minute but could only shoot into the side netting and captain Martin Odegaard then rattled the crossbar with a fierce drive after a mistake by Joe Gomez.
Kai Havertz could not capitalise on two good chances as Arsenal failed to punish a lacklustre Liverpool side who were without a host of players including Mohamed Salah who is on international duty and an ill Virgil van Dijk.
Arsenal continued to make chances in the second half with Bukayo Saka volleying clumsily over from Declan Rice's cross.
Liverpool then woke up with Ramsdale saving from Diaz and Diogo Jota heading against the crossbar before the unfortunate Kiwior inadvertently glanced in Alexander-Arnold's inswinging delivery from a free-kick.
Colombian winger Diaz then sent the 7,000 visiting fans wild as he slammed an unstoppable shot past Ramsdale.
A strong Manchester City side suffered a setback when they lost defender Manuel Akanji to injury early on and Huddersfield were proving stubborn opponents until Foden fired them ahead and Julian Alvarez poked home a second before the interval.
De Bruyne entered the fray in the 57th minute and City added their third a minute later as Norwegian winger Oscar Bobb tried to pick out the Belgian at the far post, only to see his deflected cross loop into the net to make it 3-0.
Foden added his second with a precise shot and De Bruyne teed up fellow substitute Jeremy Doku to complete the rout.
Elsewhere Premier League sides struggled. Luton Town played out a scoreless draw at home against third-tier Bolton Wanderers while Nottingham Forest will also need a replay after a 2-2 draw at the City Ground against third-tier Blackpool.
West Ham United were held to a 1-1 draw at home to second-tier Bristol City.
Championship promotion hopefuls Leeds United had no such problems as striker Patrick Bamford netted a brilliant volley in a 3-0 hammering of Peterborough United, and West Bromwich Albion cruised to a 4-1 win at home to Aldershot Town.