Muller said afterwards he did not feel the nerves at all as he stepped up to the spot.
"I've been involved in the last three major tournaments so I'm used to the pressure," he said. "But to score three goals in one game - that's pretty amazing, and the goals just got better and better.
"It's fantastic, but the merit also goes to the rest of the team."
Muller was nevertheless the absolute protagonist of a game which also saw his tangle with Portugal's Pepe lead to the Real Madrid defender receiving a red card with the game still not fully decided at 2-0 in Germany's favour.
"I just felt a blow from his fist, but I can't really remember much of what happened after," said Muller, who confronted his assailant verbally, but not physically to ensure his own name did not end up in the referee's book.
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