Coach Oscar Tabarez spoke ahead of the game about his team's togetherness and deep-rooted unity, with many of his players having first emerged during Uruguay's 2011 Copa America triumph, and their club mentality was on show against Portugal.
The 1998 champions France won 4-3 and looked a different side from the one that struggled to find their cutting edge in the group stage, pouring forward with pace and objective to stretch the ageing Argentine defence in Kazan.
The World Cup is now without the two best players in the world.
Cristiano Ronaldo is expected to continue playing for Portugal after their World Cup exit.
Two of the game's biggest players on one of the game's biggest stages walked together slowly with their arms around each other during a brief pause in the action.
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The forward went on to score in just the fourth minute of Portugal's 1-0 win over Morocco, but his form hit somewhat of a temporary road block when he missed a spot-kick in the 1-1 draw with Iran.
Uruguay made a slow start to this World Cup by scraping past Egypt 1-0 but have got stronger with every game - and in Suarez and Cavani, they possess one of the most potent strike partnerships in Russian Federation.
It took Portugal almost 60 minutes to answer, with a technically executed header by Pepe on 55 minutes following a high ball cross from the corner.
"Now is not the time to talk about the future of players and coaches", said the Real Madrid man.
"France have so many young players who are full of talent, some experienced ones too, but once you get to the quarter-finals there are no favourites", warned Suarez. Cavani opened the scoring just seven minutes into the keenly-fought contest when he finished off a stunning cross-field one-two with Luis Suarez.
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Cavani hobbled off with 16 minutes left with a suspected hamstring injury but is hopeful he will be fit in time to face France on Friday in Nizhny Novgorod.
"I said no team can win alone".
Pepe headed home from the corner to bring the Selecao back into the match but it was Uruguay who had the last laugh.
Portugal head coach Fernando Santos, however, hopes Ronaldo will continue to feature for the national side as he can help in the development of the country's next generation.
Santos said his side had studied their opponents but that it was impossible to legislate for Uruguay's first goal. But the forward departed the World Cup with four goals and with his manager insisting that there is still a place for him in the Portugal side.
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Top spot in Group G is on the line when England and Belgium square off in World Cup action from Kaliningrad Stadium on Thursday. I don't think it would be professional of us to put those players at a risk of missing the knockout phase.
"But we have a very strong team in terms of the mindset and we will always bank on the collective against any rival".