Messi, Argentina beat Netherlands on penalties at World Cup
Before that, Messi had set up the opening goal by Nahuel Molina in the 35th before converting a penalty to make it 2-0.
Argentina will play Croatia in the semifinals on Tuesday after the 2018 runner-up beat Brazil earlier Friday.
It is only the second time Argentina has reached the last four since 1990. In 2014, Messi was part of the team that lost to Germany in the final.
He looks in the mood to get there again in a tournament that he is turning into his own personal highlight reel.
He delivered a mesmerizing piece of skill and vision to set up Molina's goal, twisting free and bursting forward from central midfield before delivering a no-look reverse pass for the defender to poke in a finish.
His penalty was his fourth goal of the tournament, taking him to 10 overall in the World Cup — tied with Gabriel Batistuta for the most for Argentina. Messi now has 94 goals in total in his 169 international games.
The game featured 17 yellow cards — a record for a World Cup game — including one for Messi, who had blood coming from his upper lip at one stage of an extra time that was dominated by Argentina.
Enzo Fernandez hit the post near the end of extra time and was the only Argentina player to fail to score in the shootout. Martinez's saves were from attempts by Virgil van Dijk and Steven Berghuis, after which he pulled his shorts high and danced a jig.
The loss ended Louis van Gaal's third stint in charge of the Netherlands and Messi shared a moment with the 71-year-old coach at the end.
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