Once the emotions settle, Uruguay have some serious work to groom a new generation, given mainstays like captain Diego Godin and strikers Cavani and Suarez are now all in their early 30s.
Streetwise and tough yet with a razor-sharp edge, Uruguay have moved serenely into the World Cup quarter-finals, ignoring the chaos that has swamped former winners Argentina and Spain.
Suarez is not having any of it though. But he is French and he does not know what it means to be Uruguayan. "He enjoys our customs and can speak the same language, but we feel differently".
Oscar Tabarez began his second stint as Uruguay coach in May 2006, one month before the World Cup. "For us it's a special game. Everybody knows my personality, I'll be fine".
This statement has increased Cavani's chances of being fit to play against France.
The latter is the godfather of Griezmann's daughter.
The lightning-quick Mbappe and Griezmann struck fear into the Uruguayan defence all afternoon. "He made his debut with Martin Lasarte and had a lot of time for him". The Frenchman also met one of his closest friends, Carlos Bueno, during a five-year spell in the club's first team. He has even got a taste for mate, the tea-like drink that is a popular beverage in Uruguay.
Russian Federation v Croatia 07 July 2018
Both goalkeepers made early saves in the shootout, with an injured Danijel Subasic stopping the opening shot from Fedor Smolov. Barcelona star Ivan Rakitic scored the last penalty for Croatia to send them to the semifinal where they will face England .
"Griezmann is very Uruguayan".
"There are more or less 200,000 boys playing football in Uruguay, of this only 0.14 percent may have a possibility of going to Europe", he said.
"We are a team where everyone gives everything in the matches and in preparation. We hope that he behaves well on the field and that he remembers that he is Uruguayan".
But it's not clear if they will see each other on the field, since Cavani has a calf injury that could rule him out of the match.
Suarez said there were more threats from France than just Mbappe, picking out Antoine Griezmann, who he said had a "brilliant left foot".
Tabarez is more than just the national team coach and has effectively taken charge of youth development in Uruguay in what has become known as the "Tabarez process".
"I don't think we have a style that is set", the 27-year-old said.
"You have exams 48 hours after the games", he said.