Looting broke out in Concepcion by Sunday morning.
"I think the most critical need is probably the restoration of electricity and water in certain parts of the country," ABC News' Melia Patria reported from Santiago. "When people don't have electricity and water, I think that's where we're seeing a lot more looting because people are restless and they need resources."
Police used water cannon and tear gas to scatter people who forced open the doors of the Lider supermarket in Concepcion, the AP reported.
The government is working with power companies to restore disrupted electrical supplies, Bachelet said, adding that she is asking the private sector to pitch in on other emergency matters, too.
"In coordination with the largest supermarket chains, I have disposed the free distribution, in the regions of Maule, Bio Bio and some sectors of Araucania, of all products of main necessity that are stored in their facilities so they can be given away in a coordinated, orderly [manner] and in the places authorities decide and communicate to the citizens," Bachelet said.
"Also," she added, "in the next few hours we are expecting to normalize commercial air traffic, both nationally and internationally."
The Red Cross announced Saturday that it had raised at least $50,000 for aid to the earthquake-ravaged country. To learn more about how you can donate, visit www.redcross.org.
"We have received multiple offerings of international support and we have opened several lines and we have already mentioned that we'll have a global perspective on this to know what we were going to request in terms of international aid," Bachelet said. "Chile is a country that can resolve some of these issues itself, but there are other areas where we are going to receive support."
Bachelet said those areas likely would include emergency field hospitals, mobile bridges, communication systems, electrical systems and possibly rescue teams and water purification systems.
U.S. officials said there have been no requests for U.S. aid yet, though the United States can provide "helos for evacuations, satellite communications, imagery and some supplies all at working levels."
The Christian humanitarian organization, World Vision, began distributing "hundreds of blankets and some water containers to Santiago's earthquake survivors over the weekend," according to a press statement released by the charity.
"We are extremely concerned about the emotional impact of so many aftershocks on children. Not only the physical needs, but the psychosocial needs of children in the quake zone will be a priority once the full extent of the needs are known and we can begin delivering much-needed supplies," said Tatiana Benavides, World Vision's national director in Chile.
Paul Simons, the U.S. ambassador to Chile, told "Good Morning America" that all American employees at the U.S. Embassy have been located.
"We have no reports of any [American] fatalities or serious injuries," Simons said.
However, he added that that, as of this morning, the embassy had no reports from Concepcion.
The earthquake, which hit just after 3 a.m. local time Saturday, was stronger but much deeper than last month's Haitian earthquake, likely making the number of casualties far fewer than those in the Caribbean nation.