Warrington, beaten finalists the past two years, will take on the winner of an all-Championship second-round tie between Sheffield Eagles and Whitehaven.
Wigan Warriors will pay a visit to either Siddal, Waterhead or Rochdale while St Helens will travel to Blackbrook or Workington Town.
Leeds Rhinos will take on the winner of Thatto Heath’s second-round meeting with Championship side Widnes Vikings while Hull FC could make a familiar trip to former Super League side Salford should the former Red Devils beat Hammersmith Hills Hoist.
Leigh Leopards, winners in 2023, will travel to North Wales Crusaders or Bedford Tigers in round three, with Batley Bulldogs or Hunslet ARLFC taking on 2018 winners Catalans Dragons.
Rochdale Mayfield, Ince Rose Bridge or Swinton Lions await Wakefield Trinity, with Huddersfield Giants set to take on Stanningley, Dewsbury Moor or Hunslet, while Castleford Tigers will need to beat either Doncaster or Newcastle Thunder to reach round four.
Elsewhere, Super League newcomers York Knights and Bradford Bulls will face Wigan St Judes, Leigh Miners or Barrow Raiders and London Broncos or Wests Warriors respectively.