Hiddink also got a surprise present from Korean Air - free first class travel for four years - for his team's performance. He has been showered with numerous gifts as the squad has progressed through the tournament.
There were few reports of trouble on the streets of the capital city and police told BBC Radio Five Live that no arrests had been made.
In one square in Seoul, hundreds of fans watching the match on a screen were reported to be so orderly that they remained sitting throughout the entire game so those at the back could see.
Few people were reported to be drinking to excess, drunk instead on the excitement.
But two fans, healthy men in their 20s, died of heart attacks during the match in Taejon.
One collapsed when South Korea equalised two minutes from the end of regulation time, police said.
The Korean media immersed itself in the team's success, with Hiddink widely hailed as a national hero.
"Hiddink troops have surprised the world and created new history", said the Chosun Ilbo newspaper.
The second round win emulated North Korea's famous victory over the same opposition in 1966 - a result that still stands as one of the greatest World Cup upsets of all time.
"South Koreans have waited 40 years for their chance to emulate the North," said the Korean Times newspaper.
Striker Ahn Jung-hwan was the villain-turned-hero for Korea, scoring the winner in extra time after missing a first-half penalty.
"The God of soccer has provided a last chance for Ahn Jung-hwan," said the Chosun Ilbo Daily.
Police said there had been no trouble involving foreign fans.
"Foreign tourists staying in our country behaved really well and respected us," a spokesman added.