The South Korean side were brushed aside as Cesar Delgado struck twice for the Mexican team.
Jesus Corona also netted, and the Mexicans now face the European champions on Thursday for a place in the final.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.