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Winners play either Belgium or Japan (19:00 BST) in quarter-final
Neymar finishes Willian cross before setting up Firmino for second
Brazil never lost a World Cup game v opponents from central or north America
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Brazil 2-0 Mexico
Roberto Firmino's goal was his first competitive strike for Brazil since October 2016 against Bolivia (the fifth in a 5-0 win in World Cup qualifying).
He's been in excellent form for Liverpool this season and looked good for Brazil in their World Cup warm-up games.
Not a bad player to bring on off the bench, huh?
Brazil 2-0 Mexico
All over in Samara.
So Brazil will play the winner of tonight's game between Japan and Belgium in the quarter-finals.
No giant killing here.
Text 81111
Firmino must start the next game for Brazil
Amrik, Coventry
Brazil 2-0 Mexico
Dion Dublin
Ex-Aston Villa striker on BBC Radio 5 live
You can't say Mexico haven't given it everything. They have tried to get that ball into the box with crosses, passes and shots, but Brazil have always had the answer.
Brazil 2-0 Mexico
Carlos Vela is trying to carve out a chance for Mexico. He can't get through the middle so it's played out wide to Miguel Layun and Hirving Lozano.
Eventually Giovanni dos Santos is the one to attempt a cross but Thiago Silva is a rock at the back for Brazil.
Layun has another go but this time it ends up in Alisson's hands.
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Jack: Neymar gets an assist for Firmino and celebrates on his own instead of with the goalscorer. Classic Neymar
Tony: Brazil should start Firmino ahead of Jesus, just looks like he'll link up play more and bring Coutinho and Willian into the game.
Simon: Man of the match performance from Willian
Image source, Getty ImagesBrazil 2-0 Mexico
Andres Guardado goes in the book for another foul on Neymar. He's racked them up today the Brazilian number 10.
Brazil 2-0 Mexico
Dion Dublin
Ex-Aston Villa striker on BBC Radio 5 live
That is all Fernandinho's work. He intercepts a pass from Mexico and then passes it into Neymar's feet. The forward breaks at speed and toe-pokes it at the keeper, before Fimino taps in. What a sub to bring on.
Brazil 2-0 Mexico
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Brazil 2-0 Mexico
Six minutes left to play.
Mexico need at least two goals.
Roberto Firmino
Super-subs.
Fernandinho plays a lovely weighted pass into Neymar and he has space to run into. He drives into the box and has a shot but Guillermo Ochoa gets a toe to it.
Roberto Firmino is the guy in the right place at the right time. He slots it into the back of the net from six yards with his fourth touch since coming on.
World Cup 2018: Roberto Firmino scores a late second goal for Brazil to win the match
Brazil 1-0 Mexico
Alisson has to scatter back and reach one-handed to stop a looping ball falling to Carlos Vela.
It was a good save but it turns out Vela was offside anyway.
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Aidan: I hope Mexico equalise during the injury time generated by Neymar's antics
Glyn: I think I have well and truly fallen out of love with the Brazilian myth in this game. Gamesmanship/timewasting has no part in the beautiful game
Jodmos: Mexico should be knocking the ball into the box. With the amount of penalties in this competition, always worth a shot.
Brazil 1-0 mexico
Roberto Firmino replaces his former Liverpool teammate Philippe Coutinho.
Brazil 1-0 Mexico
Brazil are so organised at the back. Mexico are trying to breakthrough but they're not getting anywhere.
Miguel Layun tries to whip a cross in from deep and wins a corner off it.
Image source, Getty ImagesBrazil 1-0 Mexico
Dion Dublin
Ex-Aston Villa striker on BBC Radio 5 live
Brazil have got it all. They have got composure, skill and togetherness but they have had to use all of it today.
Brazil 1-0 Mexico
Good news Brazil fans, Roberto Firmino looks ready to come on.
Brazil 1-0 Mexico
Jesus Gallardo then shoulder barges Thiago Silva and the Brazilian goes down clutching his ribs.
That looked painful.
Brazil 1-0 Mexico
Dion Dublin
Ex-Aston Villa striker on BBC Radio 5 live
Paulinho has played well today and kept the ball moving. He has been a bit of a catalyst for Brazil but Fernandinho is not a bad replacement to bring on. He has gone and stood right in front of his two centre-halves.
Brazil 1-0 Mexico
Miguel Layun tries to find Carlos Vela with a raking pass out to the right but it's hit high and long and there's no chance of reaching its target.
Mexico's final delivery has really let them down tonight.
Image source, Getty Images