Argentina have been joined by Poland in the round of 16, despite winning 2-0 on the night.
Manchester United defender Lisandro Martinez was left on the bench for the final group phase game as Lionel Scaloni went back to his usual centre-back pairing of Christian Romero and Nicholas Otamendi.
It remains to be seen if Scaloni will select Martinez for the knockout phase when they take on Australia.
A late goal from Saudi Arabia reduced Mexico’s lead to 2-1, meaning Poland went through on goal difference.
Mexico will be gutted.