The Brazilian side are favourites to win the tournament but almost went out after drawing the first leg 2-2.
With the second leg 1-1, they were thankful for a missed penalty from Tijuana late on.
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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.