"The NEC further recommended that the minister (sports minister Fikile Mbalula) set up the independent judicial commission of inquiry immediately, but the commission should be limited only to the friendly matches prior to the 2010 World Cup and nothing else," SAFA said in a statement on Saturday.
The SAFA NEC also recommended that no past or present officials involved in football be part of the commission, while it was agreed that one of the three members of the inquiry would be Michael Garcia, chairperson of the FIFA ethics committee.
The NEC recommended that the commission should complete its work within three months.
Mbalula, SAFA president Kirsten Nematandani and FIFA secretary general Jerome Valcke had met on Friday to discuss a FIFA report into match fixing, revolving around Bafana Bafana's 2010 World Cup warm-up matches.
An agreement was made to set up an independent judicial commission of inquiry into the matter.
"This long-standing open case is harming South African football," Valcke said.
Five SAFA officials, including Nematandani and acting chief executive Dennis Mumble, were suspended in December after they were implicated in the FIFA probe.
The SAFA NEC later reversed the decision and reinstated the senior staffers in January following a meeting with Mbalula.