Following earlier appearances for his country this season, Evans has once again been called up into Wales' Under 21s squad.
Fellow City loanee Burke has been named in England's Under 20s squad for their double-header with France.
Evans will make up part of the Wales squad who will play forthcoming UEFA U21 Championship qualifiers against Armenia and Romania.
Wales' U21s, who have made an unbeaten start to their qualifying campaign, will welcome Armenia to Bangor on Friday 13 November before playing host to Romania four days later (Tuesday 17 November 2015) in Wrexham.
Burke's England will travel to Brittany to take on France in St Brieuc on Wednesday 11 November. They will then play against Les Bleuets again on Saturday 14 November in Ploufragan.
The fixtures in France come after Burke and his other young lions helped England to secure second place in the Mercedes-Benz Elite Cup in Germany last month.
As a result of Evans and Burke's call-ups, the pair are now scheduled to miss City's Sky Bet League 1 home match with Crewe Alexandra on Saturday 14 November.