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Officials say the death toll has surpassed 5,300, though estimates of the number still missing could be as high as 50,000.
A "state of catastrophe" has been declared in Coquimbo and Huasco following the downpour.
Argentina fans at home and in the US celebrate their progression to the World Cup final.
Mexico's World Cup campaign ended with a 3-2 defeat to England in Mexico City.
BBC international correspondent Yogita Limayee meets 12-year-old Fabiana, who was trapped in Venezuela's devastating earthquakes.
Hernan Gil, a 43-year-old security guard, was rescued on Thursday after being trapped for eight days in the rubble of a building that collapsed after twin earthquakes in Venezuela.
Mexico has secured its place in the last 16 of the World Cup in their first knockout-stage victory since 1986.
BBC correspondent Will Grant reports from Caraballeda, La Guaira, where locals are still desperately searching for family members in the rubble.
At least 1,700 people are known to have been killed in the disaster but hope remains that others can continue to be found alive.
The survivors are hopeful the authorities will find them some form of temporary accommodation while the country rebuilds - for now they are dependant on donated food and clothing.
Residents in quake-affected areas have expressed anger over the state's efforts to locate survivors and help victims, the BBC's Orla Guerin reports.
Survivors of Venezuela's devastating earthquakes are being cared for at a makeshift hospital formed on the site of a country club in Caraballeda.
Two earthquakes struck Venezuela in quick succession on Wednesday and officials have confirmed at least 1,430 deaths.
Officials have confirmed at least 1,430 deaths in Venezuela from the magnitudes 7.2 and 7.5 earthquakes.
The BBC travelled to a Caracas hospital that is treating people from the worst affected areas.
There is a sense that the next few hours will be critical for saving anyone who is still trapped, says the BBC's Dan Johnson reporting from the border of Venezuela and Columbia.
Vanessa Silva visited the coastal state, where rescuers are still working to find survivors under the rubble after twin earthquakes rocked the country.
First responders and volunteers pulled a survivor from under the rubble of a collapsed building in La Guaira.
Multi-storey buildings have collapsed in La Guaira following two major earthquakes on Wednesday.
The BBC's Vanessa Silva reports from Caracas as the city faces the aftermath of back-to-back tremors.
