Carlos Vela put them ahead from the penalty spot in the 26th minute at Rostov Arena, which had been taken over by Mexico's sea of fanatical supporters.
A key part of Mexico's exciting attacking play has been down to three players: Javier Hernandez, Hirving "Chucky" Lozano and Carlos Vela.
It was not always smooth sailing for Juan Carlos Osorio's side, though, with Lee Yong and Son Heung-min passing up presentable opportunities in the early stages.
Against Mexico, South Korea will naturally be less ambitious than Germany were, but they have to resist the temptation to bomb forward if they get momentum in the game, or else El Tri will do exactly what they did against the holders of the World Cup.
With South Korea's need to earn three points, and with Mexico's ability on the counter-attack, this should be a wide-open, entertaining game.
"We have to channel all that we are going through with a lot of humility, with calm, because we've gone through very complicated situations and we don't want outside noise to destabilize us".
Mexico's breakthrough came when captain Andres Guardado's cross was blocked by a stray arm from Korean defender Jang Hyun-soo, and Vela kept his nerve from the spot, sending goalkeeper Cho Hyeon-woo the wrong way and stroking the ball home. At the same time, South Korea lost the game against Sweden 0-1. The Mexicans have been eliminated in the Round of 16 in the last six appearances at the World Cup, and the wages on them to make it to the last eight in Russian Federation are +200. The victory against Germany has even reinforced the mindset we've had for a long time now.
Mexico, of course, began their 2018 World Cup with one of the biggest wins of the opening matches, taking down defending champion Germany, 1-0. Telemundo Deportes's Average Minute Audience (AMA) for the match was 574,000 viewers, another record-breaking number, marking the highest Spanish-language AMA for any World Cup match in USA history.
The success of Mexicans has caused their fans so excited that before the game with the Koreans in Rostov-on-don, the football team had to... appease their fans chanted hotel under the names of their lubitel.
According to oddsmakers, Mexico is a -149 favorite to win on the moneyline.
Of those duels won by Mexico, 33 have been tackles, more than any other team in the tournament, with Hector Herrera leading the way for El Tri with seven.