Remarkably, the pair pack their bags still never having scored in a World Cup knockout game.
Since 1966, only Grzegorz Lato & Andrzej Szarmach (5 for Poland) and Michael Ballack & Miroslav Klose (5 for Germany) have combined for more World Cup goals than Uruguay's Edinson Cavani & Luis Suarez (4).
Twice champions Argentina got a consolation through substitute striker Sergio Aguero in added time but they simply could not cope with Mbappe's pace from his first surge towards the box after nine minutes.
But Fernando Santos' side did briefly haul themselves level through veteran defender Pepe, whose powerful header, his sixth goal in 99 global appearances flew past Uruguay keeper Fernando Musilera.
Portugal had 61 percent of the possession and four times as many shots at goal as the Uruguyans but Tabarez dismissed possession as a mere statistic and said what mattered was creating and converting chances.More news: Boys, coach in stable health after 10 days lost in Thai cave
The teams went into the breather with Uruguay 1-0 to the good.
The European Champions nearly equalized soon after the goal, as Jose Fonte nodded on a cross from Borussia Dortmund defender Raphael Guerreiro, which was wide. The PSG hitman hit home with a bullet header and then a stunning, swerving effort on the break to see his side through to the quarter-finals.
Just hours after helping France beat Argentina to move into the last eight at the 2018 FIFA World Cup Russia™, the Bleus front man was marvelling at Uruguay's defeat of Portugal.
The Argentina fans were now in full voice but their joy did not last long before France restored parity after 57 minutes, Pavard pouncing on an over-cooked cross some 20 metres out and lashing it on the half-volley into the net.
On Monday, midfielder Rodrigo Bentancur said Cavani was in good spirits. The match just ended. We'll see what happens, we'll do [medical] exams.
While Ronaldo will be bitterly disappointed to be heading home earlier than planned from Russian Federation, he at least has the consolation of having won his country's first ever European Championship, two years ago in France. Both the players vying for the mantle of best footballer in the world are out of the tournament, under-serviced by their teammates and able to produce only brief glimpses of their brilliance. This is their third World Cup together.More news: Richard Swift Dead At 41
"Cristiano still has a lot to give to football, and I hope he will stay to help the young players grow and develop", he said on Saturday. "This is a World Cup and of course we're all defending and we're all working for our national teams, and that's the essential aspect".
"He will have his habits, his way of speaking, but (not) the feeling ... we feel differently", Suarez said.
"It was hard", he continued. "But we have a very strong team in terms of the mindset and we will always bank on the collective against any rival".
They will play against France in Nizhny Novgorod on July 6. Right now we can't say with any certainty what the injury is or might be. "Right now, we are only anxious but we don't know how serious the injury really is".
Before their 3-0 win over Russian Federation the talk in the Uruguayan press was that the side may have beaten Egypt 1-0 and Saudi Arabia 1-0, but they were hardly very impressive. But we will try our best and look to impose our way of playing on them, using our strengths.More news: England v Colombia LIVE in pictures