However, a few storms may reach severe limits in South Mississippi and may be capable of isolated damaging wind gusts and tornadoes.
A tornado was reported in the area 140 miles (225 kilometres) southwest of Memphis, Tenn., at the time. A tornado was reported in the area at the time.
The storms are part of a large system moving through the southern United States, knocking out power to thousands and causing some flash flooding.
But tornadoes aren't the only possible cause of destruction Sunday.
Two children, siblings aged 3 and 8, were killed when a tree fell on the auto in which they were sitting in Pollok, Texas, said a spokeswoman for the Angelina County Sheriff's Department.
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The storm system's death toll rose to at least five on Sunday, when authorities reported the death of a Texas woman whose mobile home was destroyed Saturday night.
A possible tornado has left damage in southeastern Alabama on Sunday morning.
Two children, ages 3 and 8, were killed when a tree fell on their vehicle as storms hammered east Texas.
A twister hit Vicksburg, Mississippi early Saturday evening.
The Angelina County Sheriff's Office said an 8-year-old and a 3-year-old died when strong winds toppled a tree onto the back of their family's auto in Lufkin while it was in motion. Violent weather is unlikely to be as widespread as Saturday, but some of Sunday's storms may be intense. The 13-year-old boy drowned in a drainage area in West Monroe late Saturday afternoon, the Ouachita Parish Sheriff's Office said. Trees were down throughout the hilly city on a bluff overlooking the Mississippi. Capt. Alton Lenderman said the parents, who were in the front seats, were not injured.
The weather service also says preliminary information showed an EF-3 tornado with winds of 140 mph touched down in Franklin, located about 125 miles (200 kilometers) south of Dallas.