Safa chef executive officer Robin Petersen says they are pressing ahead with their legal bid to try and overturn their failure to qualify for next year's Nations Cup, although they are accused of putting forward a flimsy argument to cover up their embarrassment.
"We are going ahead with an appeal to the Confederation of African Football because we think we have a case," Petersen says.
Safa are claiming the interpretation of the tie-break rules is unfair after they lost out in a three-way tie at the top of their qualifying group to minnows Niger.
Niger took top place on a better head-to-head record, when Bafana Bafana thought that goal difference was the deciding factor.
Petersen insists the latter is the fairer option and that there is past precedent to overturn the standings, even though the rules for the qualifiers had been set out by CAF some time before the qualifiers even started.
Coach Pitso Mosimane told officials on Monday he had read the rules before Saturday's last qualifying game against Sierra Leone in Nelspruit but misinterpreted them, Petersen adds.
The coach was called in to explain how he got wrong his strategy for a game that South Africa needed to win irrespective of the result in the other group match, which saw bottom side Egypt beat Niger 3-0 in Cairo. The games were played simultaneously on Saturday.
Niger led both South Africa and Sierra Leone by a single point going to the weekend's last round of qualifiers but when news Niger were trailing in Cairo reached Mosimane, he told his players to play for a draw believing it would be enough to qualify.
There was exaggerated time-wasting in the last minutes followed by scenes of celebration before South Africa discovered they had botched the permutations.
A CAF spokesman said on Monday a South African protest would be looked into but refused further comment.
Mosimane has taken the brunt of vitriolic condemnation on radio talk shows and across social media platforms on Monday with overwhelming calls for his dismissal.