Holders Internacional also went on a goal spree in their 4-1 away win over Wilstermann in Bolivia but Santos, the third Brazilian side in action on Wednesday, lost 3-2 to Colo Colo in Chile having taken an early lead.
Twice champions Cruzeiro lead Group Seven with 10 points, four more than Estudiantes, the Argentine side that beat them in the 2009 final but whom they crushed 5-0 in their opening group match last month.
They lead on goal difference from Ecuador's Emelec, who beat Chiapas of Mexico 1-0 at home in Guayaquil, but have played a match less.
Brown then headed the Brazilian side's equaliser with an own goal trying to clear a cross and forwards Leandro Damiao and Ze Roberto put the game beyond Wilsterman with Kleber adding a late fourth.
In Santiago, Colo Colo went top of Group Five one point ahead of Paraguay's Cerro Porteno, who had beaten them 5-2 at home in their opening match. Santos are third with two points after all four teams have played three.
Midfielder Elano, recalled to the Brazil squad last week for the first time since the 2010 World Cup, put Santos ahead with a swerving free-kick that deceived Colo Colo's Uruguayan goalkeeper Juan Castillo.
Teenager Neymar pulled one back for Santos, twice winners of the trophy in Pele's heyday in the 1960s, as the action flowed from end to end with near misses in both goalmouths.
Paraguay's Libertad became the first team to secure a berth in the knockout phase when Once Caldas were held 1-1 at home by San Luis of Mexico in Group One on Tuesday night in Colombia.
