Vafaei defeated Ryan Day from Wales 6-4 in the round of 64.
The Iranian snooker player will face John Higgins from Scotland in round of 32.
The 2025 International Championship is a professional snooker tournament that is taking place from November 2 to 9 at the South New City National Fitness Center (SNCNFC) in Nanjing, China.
The qualifiers took place from September 30 to October 2 at the Ponds Forge International Sports Centre in Sheffield, England.