She suggested yesterday a referendum on broad "political reform" in response to public exasperation with substandard public services and rampant official corruption in Brazil, the world's seventh largest economy.
The president also warned against any repeat of the violence and vandalism that marred Thursday's protests, which brought 1.2 million people to the streets across the country to demand a better of quality life.
Brasilia will allocate "50 billion reais (USD 25 billion) in new investments for urban mobility projects" and "to improve public transport in our country," Rousseff said after crisis talks with protest leaders and regional officials.
Brazil's unrest initially focused on transport fares before mushrooming to encompass a variety of gripes against Rousseff's leftist government, including criticism of the huge cost of staging the 2014 World Cup.
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The protests coincide with the Confederations Cup tournament being held in six Brazilian host cities as a dry run for next year's World Cup. Brazil has spent USD 15 billion to stage the two events.
"My government is hearing the democratic voices of the streets which are demanding change," Rousseff said Monday -- a repeat of the message she offered Friday in a speech on national television aimed at calming tensions.
"We know we can find solutions together with the population," she added.
Rousseff reiterated many of the themes she presented last week -- making a public transport revamp a priority, using oil royalties to boost education and proposing the recruitment of foreign doctors to bolster health services.