Russia's impressive progression to the last 16 has provided one of the tournament's major surprises so far, but Stanislav Cherchesov's side were brought back down to earth in a sweltering Samara.
In a fast start, Uruguay were ahead inside 10 minutes as Suarez, who scored the winner against Saudi Arabia on matchday two, found the net with a pinpoint free-kick.
Denis Cheryshev's own goal compounded Russia's misery 13 minutes later, with Smolnikov's dismissal – a second yellow card issued for a foul on Edinson Cavani prior to half time - all but ending hopes of a comeback.
Russia showed greater solidity after the interval, with Artem Dzyuba wasting a chance for a consolation, but the damage was already done by the time Cavani got his first goal of the tournament in the 90th minute.
Portugal and Spain - who face Iran and already eliminated Morocco respectively later on Monday - are likely to await these sides in the knockout stages, with Uruguay's victory meaning they will face the side who finish second in Group B.