The FA Cup third-round draw brought a local derby but no glamorous rewards for the non-league teams left in this season’s competition, with Jaap Stam’s return to Manchester United as Reading manager one of the round’s few intriguing subplots.

There will be four all-Premier League ties when the FA Cup resumes early next year but the heavyweights all avoided the seven non-league sides in the draw.

Sutton United’s reward for beating the League Two strugglers Cheltenham on Saturday is a home tie against their near neighbours AFC Wimbledon. The League One club staged a remarkable recovery to see off Curzon Ashton on Sunday, coming back from three goals down to win 4-3, and will hope to avoid another scare in a cup derby that at least offers Sutton the opportunity of a place in the fourth round.

Barrow, the other National League team left in the FA Cup, will host League One Rochdale, Halifax Town or Eastleigh will travel to Brentford, Stourbridge will be away at Wycombe Wanderers should they overcome Northampton Town, and Rotherham await the winners of Macclesfield Town versus Oxford United.

While the non-league clubs were left dreaming of what might have been, or perhaps have their hopes of a Premier League opponent on hold until round four, the stakes were raised for the replay between Newport County and Plymouth Argyle next Tuesday with a trip to Liverpool awaiting the winners. Steven Gerrard, who drew Jürgen Klopp’s team at home, joked that he “should get a job” for the favourable tie for his former club.

The oustanding tie of the round is arguably Manchester City’s visit to West Ham United, Pep Guardiola’s first taste of the FA Cup, while the holders United have a home game against a Reading side managed by their former title-winning defender Stam. Andy Cole, Stam’s former Old Trafford team-mate, said: “I look forward to that. He’s done very well at Reading. I’m sure he’ll get a good reception. I’m not surprised by how well he has done. I’m really pleased for him.”

The Premier League champions, Leicester City, will face Everton at Goodison Park, Hull City will host Swansea City and Sunderland will be at home to Burnley in the other all-top-flight ties. Arsenal are away at Preston North End while their north London rivals Tottenham Hotspur will be at home to Steve Bruce’s Aston Villa. The third round ties will be played on 6-9 January.

FA Cup third round draw in full

Ties will take place between 6 and 9 January.

Ipswich Town v Lincoln City

Barrow v Rochdale

Manchester United v Reading

Hull City v Swansea City

Sunderland v Burnley

QPR v Blackburn Rovers

Millwall v AFC Bournemouth

West Ham v Manchester City

Brighton v Charlton or MK Dons

Blackpool v Barnsley

Wigan v Nottingham Forest

Birmingham v Newcastle United

Chelsea v Notts County or Peterborough United

Middlesbrough v Sheffield Wednesday

West Brom v Derby County

Everton v Leicester City

Liverpool v Newport County or Plymouth Argyle

Wycombe Wanderers v Stourbridge or Northampton Town

Watford v Burton Albion

Preston North End v Arsenal

Cardiff City v Fulham

Stoke City v Wolverhampton Wanderers

Cambridge v Leeds United

Bristol City v Shrewsbury or Fleetwood

Huddersfield Town v Port Vale

Tottenham Hotspur v Aston Villa

Brentford v Halifax or Eastleigh

Bolton Wanderers v Crystal Palace

Norwich City v Southampton

Sutton United v AFC Wimbledon

Accrington Stanley v Luton Town

Rotherham United v Oxford United or Macclesfield Town