With both teams already qualified for the last 16, Russian Federation coach Stanislav Cherchesov also made three changes to the side that beat Egypt 3-1.
In a fast start, Uruguay were ahead inside 10 minutes as Suarez, who scored the victor against Saudi Arabia on matchday two, found the net with a pinpoint free-kick.
"I am pleased with my players as, after we lost a player [full-back Igor Smolnikov, sent off for two bookings], we were aggressive and showed we were real men".
A resultant corner from one such strike brought the third goal as Cavani was close at hand to nod in after the goalkeeper had done well to keep out a glancing header from Godin.
Because Russia has the advantage in goal differential, it would win the group with a draw.
But his two past World Cups have been marked by controversy: He was sent home from Brazil four years ago for biting Italy defender Giorgio Chiellini. We wanted to play in the same way we did before.
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Nearly every set-piece was delivered too long, and there were so many key sloppy passes - like Yuri Gazinskiy's to begin the passage of play that led to Suarez scoring from a free-kick - or Mario Fernandes' when for once early in the second half Uruguay looked like they might be opened up.
Russia's Denis Cheryshev scored the sixth own goal at this year's tournament, the joint-most number of own goals at a single World Cup (also six in 1998).
The coach rejected the notion that Smolov's presence alongside him guaranteed the striker would be starting, and suggested his yellow card when he did come on against Egypt could influence selection decisions, to avoid any potential suspensions for the second round.
Russian Federation coach Stanislav Cherchesov responded by taking Cheryshev off and slotting Brazilian-born Mario Fernandes into the vacant right-back berth.
England's opening World Cup game against Tunisia, when Kane scored a stoppage-time goal to seal a 2-1 win, was the most watched program in Britain in 2018 with a peak audience of 18.3 million - more than last month's royal wedding when Prince Harry married Meghan Markle. It was his second goal of the tournament after also scoring in the 1-0 victory over Saudi Arabia. The decision was confirmed after a video review.
The Sampdoria midfielder has been linked with a move to Arsenal in recent weeks and on this basis it's easy to see why there has been such interest in Lucas Torreira. Both Spain and Portugal had a goal difference of plus-1, but Spain scored six goals in its three group matches while Portugal had five.