But the match commissioner, Frenchman Paul Mauriac, has decided that Greeff must face the prospect of further punishment. A disciplinary hearing has been convened for Tuesday and could be held in Dublin, with all parties using telephone conference facilities.
Mauriac has decided not to take action against any other players, although there were a succession of incidents that must have warranted close scrutiny.
South Africa had second-row forward Jannes Labuschagne sent off for a shoulder charge on England flyhalf Jonny Wilkinson after 23 minutes.
He was the first Springbok ever to be red-carded at Twickenham, and referee O'Brien had to use all of his considerable experience to keep the lid on a pressure cooker match.
England boss Clive Woodward and members of his coaching team were critical of South Africa's approach after the game. Several England players collected injuries during the game, including Wilkinson, fullback Jason Robinson and flanker Lewis Moody, who all failed to last the distance.
It is understood that Labuschagne's disciplinary hearing will also be held on Tuesday.
(Report courtesy saru.net).