The Inter Milan playmaker headed home the winner in Port Elizabeth after a Felipe Melo own goal had cancelled out RobinhoÃ¢â‚¬â„¢s first-half opener.
And with underdogs Uruguay to come in TuesdayÃ¢â‚¬â„¢s semi-final, Sneijder senses a unique opportunity to create history.
Ã¢â‚¬Å“This is a unique chance for us to go all the way,Ã¢â‚¬Â said the former Real Madrid man.
Ã¢â‚¬Å“This is simply a fantastic feeling. We’ve beaten Brazil 2-1 to progress to the semi-finals.Ã¢â‚¬Â
Sneijder admitted the Dutch faced an uphill battle after falling behind before the interval but praised their fighting spirit.
Ã¢â‚¬Å“It seemed pretty much impossible to progress at half-time,Ã¢â‚¬Â added the 26-year-old.
Ã¢â‚¬Å“However, we told each other during the break that we had to give it our all and that we could still make it to the semi-final.
Ã¢â‚¬Å“We started the second half with attacking intentions and were rewarded with a quick equaliser.
Ã¢â‚¬Å“I got all the time and space I needed for our second goal and I didn’t hesitate to head the ball home from inside the area.Ã¢â‚¬Â
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news