Cruzeiro and Argentine side Velez Sarsfield lead the group on seven points, Chile's Colo Colo have four and Deportivo Italia one. Velez host Colo Colo on Thursday in Buenos Aires.
The Brazilians took the lead following a sixth-minute corner when Italia goalkeeper Jose Fernandez was caught stranded and Fabinho stooped to head the ball through a melee of players.
Italia midfielder Alain Giroletti rattled the bar with a free-kick close to the half-hour mark before Pedro Ken increased Cruzeiro's lead in the 69th minute, two minutes after coming on as a substitute.
In Group Four, Argentina's Lanus beat Blooming of Bolivia 1-0 thanks to a penalty from Santiago Salcedo to climb within two points of joint leaders Libertad of Paraguay and Peruvian champions Universitario.
The Venezuelan side took the lead five minutes after halftime through defender Jaime Bustamante, who volleyed home from Dario Figueroa's free-kick.
