Police have used tear gas to stop protesters from approaching a football stadium during a Brazil-Uruguay Confederations Cup match.
About 50,000 protesters marched to the stadium in Belo Horizonte.
A small number of them tried to push past police lines. About 20 people were detained.
The crowds repeated the demands they have made since the protests began – more spending on education and health, and a crackdown on corruption.
They also complained about the high cost of the 2014 World Cup, for which the Confederations Cup is a dress rehearsal.
Police have used tear gas to stop protesters from approaching a football stadium during a Brazil-Uruguay Confederations Cup match
The match has now finished; Brazil beat Uruguay 2-1, and qualified for the final of the tournament.
Since the demonstrations escalated last week, President Dilma Rousseff has introduced a series of measures to answer some of those demands.
In the capital, Brasilia, campaigners against social inequality have placed 594 footballs in front of the parliament building to show that the “ball is in the court of the Congress to pass the reforms demanded by those on the streets”.
A key grievance of protesters was a proposed constitutional amendment, PEC 37, which would have limited the power of federal prosecutors to investigate crimes – which demonstrators claim could have opened the way for more corruption.
But on Tuesday, the proposed measure was defeated by 430 votes to nine.
Congress also voted to use all the royalties from newly discovered oil fields for education and health.
Some of the largest oil finds in recent years have been discovered off the Brazilian coast, and the country is expected to be able to produce tens of billions of barrels of crude oil over the coming decades.
In another attempt to pacify protesters, the government promised to speed up the pace of reform.
It said it would simplify a referendum to establish a constituent assembly – proposed on Monday by President Dilma Rousseff – to allow for a vote as early as 7 September.
The president of the Senate, Renan Calheiros, has proposed free transport for all students.
The rising cost of public transport was the main catalyst for the protests, and various city authorities have already decided to reverse fare increases.
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Brazilian government has failed to halt nationwide protests, despite reversing the public transport fare increases that sparked the unrest.
Crowds blocked main roads in Sao Paulo and Brasilia, and protesters confronted police in Rio de Janeiro state shortly after the U-turn was announced.
Earlier, there were clashes before Brazil’s football team played Mexico in Fortaleza in the Confederations Cup.
Protesters are angry at corruption and high spending on next year’s World Cup.
Activists say they have not changed their intention to hold the biggest demonstrations yet on Thursday.
Hundreds of thousands are expected on the streets there before another round of matches in the Confederations Cup.
The continued protests come after the authorities in the two biggest cities, Rio de Janeiro and Sao Paulo, said they would reverse the public-transport fare increases.
Sao Paulo mayor Fernando Haddad said the reversal would be a “big sacrifice” and said other investments would have to be cut.
Brazilian government has failed to halt nationwide protests, despite reversing the public transport fare increases that sparked the unrest
Rio mayor Eduardo Paes made a similar point, saying the lower transport prices would cost the city 500 million reals ($225 million) a year.
The mayors of Cuiaba, Recife, Joao Pessoa and other cities have already announced a reduction in bus fares in response to the protests.
But the protesters were unmoved by the gesture.
“It’s not really about the price [of transport] anymore,” said 18-year-old student Camila Sena, at a protest in Rio de Janeiro’s sister city of Niteroi.
“People are so disgusted with the system, so fed up that now we’re demanding change.”
One demonstration in the city of Belo Horizonte continued for more than 10 hours.
Police fired tear gas and rubber bullets to disperse protesters in the north-eastern city of Fortaleza on Wednesday after at least 30,000 people rallied there.
Clashes erupted when a protest march was stopped by police. Several people were injured, including police officers. Access to the stadium was blocked for at least 30 minutes, but police later allowed people to get in ahead of the game which started at 16:00 local time.
During the protest some demonstrators carried banners reading: “A teacher is worth more than Neymar”, in a reference to Brazil’s star footballer who played and scored against Mexico.
Before the match, Neymar spoke in favor of the protesters, saying in a message on Facebook: “I’m Brazilian and I love my country. I have a family and friends who live in Brazil. For that reason, I want a Brazil which is more just, safer, healthier and more honest.
“The only way I can represent and defend Brazil is on the pitch, playing football. From now on, I will enter the field inspired by this movement.”
Football legend Pele urged demonstrators to end the protests.
“Let’s forget all this commotion happening in Brazil, and let’s remember how the Brazilian squad is our country and our blood,” he said.
The current unrest is the biggest since 1992, when people took to the streets to demand the impeachment of then-President Fernando Collor de Mello.
Vice-President Michel Temer cut short a visit to Israel and the Palestinian territories on Wednesday to return to Brazil.
President Dilma Rousseff has said she was proud that so many people were fighting for a better country.
Many of the demonstrators have complained of the huge sums spent on construction for the World Cup and the 2016 Olympics, which will be hosted by Rio de Janeiro.
The dilemma for the political leadership is how to answer so many different concerns among a vast group of people with momentum and social media on their side, correspondents say.
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