The Clarets will be at home to Leicester City in the last 16 of the U23 Premier League Cup.
Steve Stone’s side was paired with the Foxes after beating West Bromwich Albion in their final group game to qualify for the knock-out stages as Group C winners.
Leicester finished second in Group D behind run-away winners Nottingham Forest and qualified on goal difference ahead of Exeter City.
The date and venue for the tie will be confirmed in due course.
Leicester are currently fourth in the First Division of Premier League 2 and also play in the Premier League International Cup, with a home quarter-final against Bayern Munich to come on Wednesday, 13 March.
Full last-16 draw:
Stoke City v Blackburn Rovers
Everton v Sunderland
Burnley v Leicester City
Nottingham Forest v Bournemouth
Swansea City v Aston Villa
Derby County v Wolverhampton Wanderers
Reading v Newcastle United
Leeds United v Fulham