The win leaves Portugal in a strong position on four points in Group A with just a game against outsiders New Zealand remaining Saturday.
Mexico equalised in the 54th minute when the Mexican frontline combined to set up a great play to find Raul Jiminez who fired home to bring the match back on to level terms before Peralta then hit the victor in the 72nd minute from a Javier Aquino pass to ensure that Mexico lead group A in the tournament ahead of Portugal.
It comes three days on from Ronaldo doing likewise in the aftermath of Portugal's 2-2 draw with Mexico, despite being made man of the match and therefore obliged to speak to reporters.
The forward said Portugal were worthy winners after surviving a second-half Russian fight-back. The team played very well against a side playing at home with the support of their fans. "We appeared less apprehensive", he said.
Portugal coach Fernando Santos backed his player when queried over Ronaldo refusing to take questions on his club future.
Ronaldo was left unmarked at the back post, where he rose to head Raphael Guerreiro's cross past Russian Federation keeper Igor Akinfeev in the 8th minute.
For Akinfeev, his 100th global appearance would not end in a win.
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Early in the second-half André Silva, the striker who AC Milan recently signed from FC Porto for €38m, so almost made it two.
Mexico ended the day as Group A leaders with four points, ahead of Portugal on goal difference.
"Defensively, we lost the ball several times in the first half and did not succeed in launching any attacks".
"We were certainly not nervous", he said.
"We know how to adapt to different opponents". Bakary issued three yellow cards to Reyes, Herrera and Boxall, but all of the bookings were awarded individually leading to confusion and a lengthy time delay as New Zealand lined up to take the ensuing free-kick.
"Everyone is incredibly disappointed in the changing room and we feel we should have got more", said Hudson. A poor defensive clearance from Nestor Araujo led to Clayton Lewis slipping a slick pass through for Wood to finish with a first-time, right-footed strike past Talavera from 12 yards.
The Mexicans, who saw Ryan Thomas denied an 85th-minute equaliser by the woodwork, survived a major scare after Chris Wood had fired the Kiwis into a half-time lead and then squandered a series of further chances before Raul Jimenez and Peralta spared their blushes. Although he had other chances, the current balloon d'or holder couldn't find the back of the net.
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