On Friday, President Sebastián Piñera declared a state of emergency in Santiago and gave the military responsibility for security after a day of violent protests over increases in the price of metro tickets.
Interior Minister Andres Chadwick told news conference in Santiago earlier on Sunday night that the decision to extend the emergency measure came amid an "escalation of violence and vandalism".
At least two airlines cancelled or rescheduled flights into the capital, affecting more than 1,400 passengers Sunday and Monday.
President Sebastian Pinera's announcement that he would suspend a hike in subway fares was too little, and too late, to immediately defuse the tension.
Under a state of emergency imposed at the weekend, the general in charge of security in Santiago announced a curfew in the city and outlying areas between 10pm on Saturday and 7am on Sunday local time.
He also said the government would "call for a dialogue.to alleviate the suffering of those affected by the increase in fares". Security forces used tear gas and jets of water to try disperse crowds.
It is the first time in the post-Pinochet era that troops have been deployed in what has otherwise been one of Latin America's most stable countries.
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Until Saturday, Chilean governments of left and right have been wary of bringing soldiers back into the streets since the end of a dictatorship during which thousands of suspected leftists were killed and dissent was ruthlessly crushed.
Protesters set fire to buses, smashed up metro stations, knocked down traffic lights, ransacked shops and clashed with riot police in Santiago and other cities.
Prosecutor Xavier Armendáriz said a fourth person died in another fire at a supermarket in Matucana, in the center of Santiago.
"The people who govern the country seem to be living in a different world from the rest of us", said Enrique Araya, a 49-year-old attorney, as he banged pots with his family in front of a subway station.
Despite Mr Pinera's lifting of the fare hike, subway and public transportation services remained suspended late on Saturday, and the state of emergency was still in place.
The unrest started as a fare-dodging scream essentially by students in opposition to the hike in metro imprint costs, blamed on rising oil costs and a weaker peso. Demonstrators targeted almost all of the 164 metro stations by destroying gates and turnstiles and even throwing Molotov cocktails, forcing the closure of the entire subway system-the largest in South America and the most important form of transport in the capital. City authorities confirmed that schools would be shut on Monday and Tuesday.
Hundreds have taken to the streets of Santiago and surrounding cities in recent days to protest against the rising cost of public transport, vandalizing metro stations and even setting an electrical company building on fire.