Ronaldo played a pivotal role in France during Portugal's triumphant campaign two years ago, and during the tournament in Russian Federation he became Europe's top global goal-scorer and only second in the world to Iran's Ali Daei.
Suarez went close to a second when Patricio pushed out his 22nd-minute free-kick and Cavani shot wide in the final moments of the first half after controlling Godin's towering punt.
Portugal had no Plan B to fall back on to answer Cavani's masterful strikes on either side of Pepe's headed goal in the 55th minute.
That was the first goal the twice World Cup champions had conceded in the tournament in Russian Federation, but another moment of brilliance from Cavani put them back ahead seven minutes later at the packed Fisht Stadium overlooking the Black Sea. "The team didn't win because Uruguay scored twice".
That, and Portugal's recent track record of being involved in tense knockout matches that have gone to the wire, has raised the prospect of a nail-biting contest as the World Cup heads into its latter stages.
"I said no team can win alone".
For the past decade, Portugal have been accused by many pundits and fans of being a one-man side that revolves around Ronaldo. "However, we also have to praise Portugal for the match".
Portugal coach Fernando Santos threw up his hands in disgust, realising that coming from behind a second time against this Uruguay defence was going to be a tall order.
Portugal's triumphant Euro 2016 campaign was never spectacular but it made the most of what they had available - a world-class striker, a strong defence, a good goalkeeper, a winning mentality and good organisation.
Central defenders Diego Godin and Jose Gimenez play their club football together at Atletico Madrid and that showed as they repelled nearly everything Portugal could throw at them with superb anticipation and understanding.
It was a five-pass buildup from deep in its own end that culminated in Uruguay's first goal, and the final two passes were ideal.
Cavani's second goal was another magnificent effort as he met Bentancur's pass first-time and curled the ball into the net from the edge of the penalty area. Watching Suarez running the channels, snapping at defenders' heels, dropping deep, leading the line and holding the ball up against Portugal.
"That was an incredible play", Santos said.
While Uruguay is advancing, it now must be concerned with the status of Cavani after he limped off the field and immediately called for a substitute.
But Uruguay held on to reach the last eight, even if match-winner Cavani gave them a scare ahead of the France game by limping off in the final quarter. The Uruguayans had gone 598 minutes since November 2017 without allowing a goal.