Ecuador's Colombian coach Hernan Gomez felt that the result was not a fair reflection of the game, but admitted that their opponents were the better side.
"But there were some cases like Suarez, this is the first game he plays after his injury, he played just some training matches we did".
Uruguay were off to a dream start.
Luis Suarez, who set up the opening goal, extended Uruguay's lead just before the interval after turning home a flick-on from Martin Carceres at the far post.
"It was an important first step for us", Cavani said.
Referee Anderson Daronca made a major intervention in the match after 24 minutes when he sent off Ecuador's José Quinteros for unsafe play, having elbowed Uruguay's Nicolas Lodeiro, leaving the Seattle Sounders player bleeding on the turf.
But moments later, his arm made contact with Lodeiro's face when challenging for another header, this time drawing blood. Having done so the Brazilian referee rescinded the yellow card he had shown Quinteros, instead giving him a straight red card.
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Paris Saint-Germain forward Cavani was denied again when Dominguez stunningly tipped his clever back-flick onto the post one-handed.
After missing two good chances, Cavani acrobatically rasped a bicycle-kick from seven metres past a helpless Alexander Dominguez for his 47th worldwide goal.
With the game all but over as a contest, the second half was a damp squib of an affair.
Uruguay looked content to play a patient possession game without pushing for more goals.
The fourth goal came when Mina as he tried to clear a ball crossed into the area in the 78th.
The Uruguayans took their foot off the pedal in an uneventful second half but an own goal from Arturo Mina 12 minutes from time, confirmed by VAR, sealed a miserable night for Ecuador.
"The important thing was that the team won and now we'll prepare for the next match", against Japan on Thursday, said Suarez, who notched his 57th goal for Uruguay.