Meanwhile, South Korea were condemned to an early exit after losing their opening two matches despite Heung-Min Son scoring a spectacular consolation strike in stoppage time.
Conditioned by the dry heat that has been a feature of every game at the Rostov Arena, Mexico did not quite have the same thrust and energy as against Germany although they still controlled most of the play and looked far more risky.
Mexico dominated possession throughout the match, striking first blood in the 26th minute from the penalty area, when Carlos Vela cooly converted his spot kick.
South Korea received four yellow cards.
Only a Germany win will prevent South Korea being knocked out with a group game remaining. A volley from Vela skimmed the bar minutes later.
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Both cases are punts, which delay a showdown over partisan gerrymandering for at least another year. House and state legislative seats. "The (U.S.) Supreme Court didn't rule against us", Raines said.
At the very least, the Taegeuk Warriors can take pride in the fact that they did produce something better than the insipid display in the 1-0 loss to Sweden.
Son then had three shots in the space of 10 seconds, but the Tottenham Hotspur attacker saw his first two efforts blocked before his third was deflected wide of the Mexico post for a corner, which saw Ki test Guillermo Ochoa with a header.
But, six minutes before the half-hour mark, El Tricolor were handed the ideal opportunity to open the scoring when opposition defender Jang Hyun-soo needlessly went to the ground in an attempt to block an Andres Guardado cross - only to handle the ball inside the area.
Miguel Layun pressed for a second goal before the break but his shot from a low cross-field drive was tipped away by Jo Hyeon-woo.
The win also piles the pressure on Germany as they prepare to face Sweden later today in Sochi, after the reigning champions' opening game defeat and the Swedes' opening victory over South Korea.