The result puts the sides level on one point each in Group A, behind hosts Russian Federation, who defeated New Zealand 2-0 in their opening game clash in St. Petersburg on Saturday.
Fernando Santos sent Portugal out in a 4-4-2 formation on the Confederations Cup debut, with talisman and captain Cristiano Ronaldo leading the line alongside Nani but despite their obvious superiority on paper, they struggled to get a hold of the ball in the opening exchanges.
The first goal of the after noon came from Portugal'sQuaresma with the assist by Ronaldo in the 34th minute.
Portugal, who are making their debut at the Confederations Cup, go into the clash with Mexico on the back of a convincing 3-0 World Cup qualifying win away against Latvia. "We are calm and thinking about the next game".
He attracted headlines last week after being accused by a Spanish prosecutor of defrauding the country's tax authorities.
Ronaldo carried the ball into the area but was surrounded by three defenders and he passed it to Quaresma, who was free from markers on the far side of the box.
Stay tuned for Portugal vs MexicoFIFA Confederations 2017 live goal updates on this site.
Mexico, opted to bench the likes of Giovani Dos Santos and Hirving Lozano, were looking fluid in their 4-3-3 formation with Javier Hernandez and Carslos Vela leading the line for El Tri.
Ochoa made a great diving save in the 85th to keep young Portugal forward Andre Silva from scoring with a header.
There were concerns that the match could be suspended after warnings from Federation Internationale de Football Association against homophobic chants by Mexican fans, but they were only heard a couple of times during the match and did not cause any disruption.
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