Suspicions of a betting scam were raised because all seven goals in the Estonia-Bulgaria and Latvia-Bolivia friendlies last week were scored from penalties.
FIFA says it has asked for match reports from each of the national federations.
The probe is expected to focus on an agency which arranged the back-to-back games in Antalya, and the Hungarian match officials.
Bolivian officials have canceled a scheduled return visit to Turkey next month for matches against Finland and Bulgaria.
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