Clashes with government forces left more than 30 dead last week, sparking concerns about a full-scale revolt. Protesters are fighting laws that would open their rainforest home to energy and agribusiness development.
Venezuela withdrew its ambassador this week after Peru offered asylum to Chávez's political rival who faces corruption charges.
Manuel Rosales, who ran against Chávez in 2006, is seeking asylum in Peru.
A new constitution approved handily Sunday also risks dividing the nation.
President Alan García presides over one of the region's fastest growth rates, but his approval rating sank to 26 percent this week because the poor say their lives aren't any better.
Peru's Congress is investigating new Bolivarian 'fair-trade' groups. Are they funded by Venezuela?