Willian also won the praises of Brazil assistant coach Sylvinho, who pointed out his sterling work at covering right-back Fagner on a flank that was targeted early on by Mexico on the break.
In the scorching conditions in Samara, the Mexicans, who started with 39-year-old Rafael Marquez, made a frenetic start but were unable to convert their chances.
The game was done and dusted and so was Mexico's World Cup.
And the former Barcelona man, whose histrionics upset the Mexican players and coaches, was involved in the second goal to seal victory with his poke towards goal falling to substitute Roberto Firmino to tap the ball into an empty net.
While Layun didn't receive a caution for his action, he clearly stepped on Neymar and enabled a stoppage that halted some of Mexico's momentum.
NZ PM Jacinda Ardern, Gayford explain baby's name, Neve Te Aroha
Neve is Ardern's first child and she weighed in at 3.31kg when she made her way into the world at 4.45pm on Thursday 21 June. All the presents for baby Neve would be passed on to another family once they had been used, Ms Ardern said.
Against Mexico, Neymar burst into life after Brazil weathered early pressure from opponents determined to end a 32-year wait to reach the quarter-finals. Neymar has 11 goals and nine assists in his last 19 games for Brazil.
Replays appeared to show Layun caught Neymar on his ankle but he escaped sanction. This could've been another of them if it hadn't been for Ochoa who, just like four years ago, kept denying nearly every Brazilian on the pitch.
"Unfortunately, and it is a shame for football, we wasted a lot of time because of one player", Juan Carlos Osorio said.
Despite the goal, Neymar still continued to play the victim card, with his cartoonish reaction to Miguel Layun's errant stud proving to be a real highlight of the second half... This was similar to the performances against Costa Rica and Serbia last week when they did just about enough to win.
Neymar went on to add that he's sole focus is helping the Selecao lift their record sixth World title.
Mexico, playing without a clear home-field advantage for the first time in Russian Federation - the crowd of almost 42,000 was evenly split - tried to come back, with Carlos Vela bending a left-footed shot toward the crossbar in the 60th minute.
"Us attackers have to score the goals because we know that we are very strong at the back".