Sweden booked their place in the last 16 with one game to spare by thrashing Italy 5-0 on Tuesday.
Barring an incredible goal difference swing they will be advancing as group winners and will be playing defending champions the United States in the knockouts on Sunday.
Argentina have never progressed beyond the group stages but could break their duck if they beat Sweden and Italy and South Africa draw, or, if South Africa beat Italy, they better the African Champions' result.
South Africa will only reach the knockouts if they beat Italy and better Argentina's result. Italy will reach the last 16 if they win, or if they draw and Argentina don't beat Sweden.
History awaits?
Getty ImagesCopyright: Getty Images
South Africa were just 11 minutes away from a historic first Women's World Cup win in their last outing against Argentina, until their opponents fought back from 2-0 down to earn a point.
But now the Banyana Banyana have the chance to make history once again and secure not only that first win, but also a place in last 16 for the first time.
It will not be easy, however, as three points for Italy will send them through.
Live Reporting
Gary Rose
All times stated are UK
Who needs what
Sweden booked their place in the last 16 with one game to spare by thrashing Italy 5-0 on Tuesday.
Barring an incredible goal difference swing they will be advancing as group winners and will be playing defending champions the United States in the knockouts on Sunday.
Argentina have never progressed beyond the group stages but could break their duck if they beat Sweden and Italy and South Africa draw, or, if South Africa beat Italy, they better the African Champions' result.
South Africa will only reach the knockouts if they beat Italy and better Argentina's result. Italy will reach the last 16 if they win, or if they draw and Argentina don't beat Sweden.
History awaits?
South Africa were just 11 minutes away from a historic first Women's World Cup win in their last outing against Argentina, until their opponents fought back from 2-0 down to earn a point.
But now the Banyana Banyana have the chance to make history once again and secure not only that first win, but also a place in last 16 for the first time.
It will not be easy, however, as three points for Italy will send them through.
It's all to play for in a tense Group G finale.