Russia's leading scorer would find the net at the other end on 23 minutes, though, as his touch diverted Diego Laxalt's first-time effort past Igor Akinfeev.
Hosts Russia and their expectant fans were given a brutal reality check on Monday when Uruguay exposed the weaknesses in the side that had been papered over in the uplifting victories over Egypt and Saudi Arabia in World Cup Group A. Cavani poked it home for Uruguay's third goal.
"After winning the first two matches 1-0, our goal was to get another", Suarez said.
In their wins over Saudi Arabia and Egypt, Russia's midfielders ran further and harder than nearly anyone else at the World Cup. But Uruguay - ranked No. 14 in the world - posed a far greater challenge to the hosts. His goal on Monday was the 53rd of his career, in his 101st appearance.
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Costa replaced Chelsea winger Willian at the start of the second period and there was immediately a greater urgency from Brazil . Tears of "joy, of overcoming, of willpower and desire to win" that show how desperate he is to succeed at the finals this summer.
The score was opened by Uruguay on the 10th minute after Russian midfielder Yury Gazinsky was slapped with a yellow card for a tackle on Matias Vecino near the box of his goal, reported Tass news agency.
Luis Suarez grabbed his second goal of the tournament to open Uruguay's account with a free-kick after 10 minutes when he struck a low free-kick into the bottom corner that should have been easy pickings for Russian Federation keeper Igor Akinfeev.
Uruguay doubled their lead in the 23rd minute when Diego Laxalt's shot from the edge of the area deflected off Cheryshev, leaving Akinfeev wrong-footed.
Russia's Stanislav Cherchesov and Uruguay's Oscar Tabarez will have to juggle pragmatism and momentum on Monday when Uruguay and Russian Federation clash in Samara, Sports Online writes.
"It's important for strikers to score", Uruguay coach Oscar Tabarez said. Both teams are already assured of spots in the round of 16, but they will be fighting to top Group G.
"Even though we had ten men we wanted to play".
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His proposal drew immediate criticism from legal analysts and immigrant rights advocates who said it would violate the U.S. Trump suggested on Friday that some of the wrenching tales that have emerged from the borderwere fabricated by Democrats.
Luis Suarez. Uruguay haven't looked terribly impressive at this World Cup but have managed to remain flawless in the group stages thanks to a miserly defence and the efforts of their talisman. More recently, the team finished fourth in South Africa in 2010 and made the round of 16 in Brazil four years ago.
On a personal level I'm happy to move forwards, with the team we continue to make history. "We were rather aggressive".
Russia, meanwhile, will face Group B winners Spain after last night's 2-2 draw with Morocco.
Uruguay's central defender Jose Gimenez did not attend the training session due to an injury sustained in one of the two previous group stage matches of the world championship. The team did not say when he might return.
After the break, Russia's 10 men composed themselves and at least managed to wrest back some control of the match, with Uruguay always looking unsafe but perhaps happy to concede possession and protect their lead.
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Painful would be a good word to describe Sampaoli's ordeal at the hands of his Argentine media tormentors. If Iceland win, it will be time to get the calculators out.