FIFA filed a "criminal complaint" against unnamed individuals, calling on Swiss federal prosecutors to investigate money transfers connected to the 2018 and 2022 World Cup bidding contests that were won by Russia and Qatar.
The unexpected move comes five days after FIFA had welcomed a "degree of closure" on the case.
"In particular there seem to be grounds for suspicion that, in isolated cases, international transfers of assets with connections to Switzerland took place, which merit examination by the criminal prosecution authorities," FIFA said in a statement.
"The (office) will analyze the documents, presented on a large scale, to violations of criminal law and liability," the Bern-based federal agency said in a statement, adding it would "inform the public in due time about further steps."
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Lauber, if he takes jurisdiction, could also have powers denied to Garcia, who was unable to force the handover of financial documents and phone records or to compel key witnesses to cooperate.
The Swiss prosecutors were brought in nearly four years after an often-discredited FIFA executive committee voted for the World Cup hosts after campaigns riddled with allegations of bribery, favor-seeking and voting pacts.
Tuesday's announcement came five days after FIFA ethics judge Joachim Eckert's summary of Garcia's investigation was widely denounced as a whitewash of the Russian and Qatari bids, and FIFA voters.
But Blatter's move certainly is a changed narrative from FIFA's statement on Thursday following Eckert's decision to close the case against the winning bidders.