Cavani has 45 goals and 105 caps in total for his country, and France will surely be delighted if it turns out that he doesn't recover in time for the mouthwatering quarter final tie.
"We were united, we defended very well and when we were down (2-1) we saw players with no doubts", Griezmann said.
However, he was largely a peripheral figure in the defeat to Uruguay, being upstaged by Uruguay frontman Edison Cavani, who struck a stunning brace as Portugal went down to a 2-1 defeat.
At the world championship 2022 in Qatar, the Portuguese will be for 38 years.
Paris Saint-Germain striker Cavani curled home a superb 62nd-minute victor to settle a thrilling second round duel in Sochi which sends Uruguay into a quarter-final against France next Friday.
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Uruguay, world champions in 1930 and 1950, will play France, who beat Argentina 4-3 earlier in the day, in Nizhny Novgorod on July 6.
Ronaldo played a leadership role in that triumph and Portugal coach Fernando Santos said he hopes he will continue and help him with a new generation of players. "We could feel their presence with us and there's a real sadness in the dressing room that we weren't able to make it through for them".
Uruguay's Edinson Cavani celebrates scoring their first goal. "We have a team with many young players and of course we all want him there with us". He also joined Pele, Miroslav Klose and Uwe Seeler as the only players to score in four World Cups.
Cavani injured is a national disaster.' Uruguay coach Oscar Tabarez confirmed on Saturday night that Cavani was injured.
The exams planned this Sunday have indeed been postponed by 24 hours and the Paris striker still does not know the exact nature of his injury.
Cavani headed the opener after a fine one-two with Luis Suarez, but Pepe rose unmarked to nod in an equaliser.
Suarez with 53 goals and Cavani 44 - 12 of them from assists by his striking partner - are their two all-time leading scorers and again showed their understanding with an astonishing opening goal in the seventh minute. "He gives us confidence that we can win every match".