On Saturday night, "48 Hours" will hear from several women as they discuss their various encounters with serial killer Ted Bundy in 1978. The new episode of the CBS crime show will explore what transpired during their meetings and how they each survived.

READ: What Makes A Serial Killer? The Surprising Early Behavior That Many Exhibit

In a sneak peek of Saturday's episode, Kathy Kleiner gives her firsthand account of what happened the night she met Bundy. Kleiner, then 20 years old, was living in the Chi Omega sorority house at Florida State University in Tallahassee.

As recounted by Kleiner in the new "48 Hours," one Saturday night, she had decided to stay in due to the fact that she needed to study for an upcoming exam. Her roommate at the time, Karen Chandler, also needed to stay in and complete a project for one of her own classes.

Around midnight, both women decided to go to bed, but shortly thereafter, they were woken up by an unexpected intruder.

"That night, I heard our bedroom door slam open," recalls Kleiner. After adjusting her eyes and being brought back "into consciousness," she saw a man standing in her room with what appeared to be a pipe or a stick raised above his head. The man then struck her in the face, which she said felt like "pins and needles and knives."

The man, who would turn out to be Bundy, then realized that Chandler was also stirring, which prompted him to also strike her.

However, the night took a fortunate turn just as Bundy had returned to Kleiner's side of the room. Per her account, just as he was getting ready to hit her again, a bright light entered the room. This, she said, was due to the fact that one of her sorority sisters was arriving home from a late date and still had her headlights turned on.

This "spooked" him, which made him decide to vacate the sorority house.

The preview, which can be seen below, also highlights a few news reports about the crime, saying that he had simply "walked in through an unlocked door."

Kleiner and Chandler's full accounts of their terrifying night will be fully examined on Saturday night's new episode of "48 Hours," which will be hosted by CBS News correspondent Tracy Smith.

This episode of "48 Hours," called "Surviving Ted Bundy," will air Saturday night at 10:00 p.m. EDT on CBS.

Police Car
In this photo, police cars sit on Main Street in Dallas, Texas, on July 7, 2016. Laura Buckman/AFP/Getty Images