As the authorities had spent so much time preparing the Quidditch World Cup stadium for the tournament of 1877, it is entirely possible that the re-staged matches took place in the Ryn desert of Kazakhstan as well.
From the Web
Writing by J.K. Rowling on Pottermore:
Pottermore enhanced reading experience: Quidditch World Cup
Screenshots of the original Daily Prophet coverage of the 2014 Quidditch World Cup on Pottermore: Imgur archive