They took to the game to the world champions, didn't accept their would-be status of second-best here and set the tone for the match with some brilliant early attacking play. Now, it's all about using that momentum to propel them forward as they look to realize their World Cup aspirations.
Loew threw on Marco Reus in place of Sami Khedira and, with 10 minutes to go, yet another striker in Mario Gomez, to reinforce Timo Werner, who had failed to make much of a mark.
Kroos, who like Hummels was part of the team that won the 2014 World Cup, said Germany paid the price for failing to stem the waves of Mexican first-half attacks. In the first half we managed to play defensively with a great deal of intelligence and hit them on the counter.
Die Mannshcaft were below par throughout the match and Low used the post-match press conference to provide his thoughts on the game, as reported by Goal.
So what went wrong for each side, and what needs to be done to fix it? Germany are one of the most accomplished teams in Europe.
Throughout the first half you expected the Germans to arrive - eventually - as they inevitably do, but it simply never came.
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The Frenchman said: 'I'm not going to complain about VAR because it was in our favour obviously . "It helped correct a mistake". Rogic did show nice touches when he got near enough to the ball to do so, but was replaced by Jackson Irvine on 72 minutes.
"We lost the game in the first half".
Mexico's seismic monitoring network, Simmsa, said the vibrations were picked up by at least two sensors when Lozano scored.
It is this, the idea of the German national team which we have grown accustomed to over the years, that made their defeat to Mexico in the World Cup Group F opener so shocking.
Germany nearly responded immediately, as Kimmich won a free-kick at the top of the box that Kroos curled on target only to see Ochoa tip it onto the bar.
Sebastian Salazar and Herculez Gomez explain how Juan Carlos Osorio's tactics played a big role in Mexico's defeat of Germany at the World Cup.
"But we will not just break apart now and become headless and do something completely different". We had practised defending with four midfielders and three players up front and that is nearly how we got the second goal.
Low's side had 26 shots, the most by a side without scoring in a World Cup match since 2006 (Portugal v England, 29 shots in a 0-0 draw).
"It was a very important game for Mexican football, for Mexican history because starting the World Cup against the world champion and winning three points was something that very few people expected", said Ochoa after the game.