This is a rush transcript from "On the Record," June 14, 2010. This copy may not be in its final form and may be updated.

GRETA VAN SUSTEREN, FOX NEWS HOST: Now you are going to the country of Peru for the inside story on the murder case against Joran van der Sloot. Right now, Van der Sloot is sitting in a dismal Peruvian prison, slapped with charges for the beating and strangulation murder of 21-year-old Stephany Flores. Now, we have a copy of Van der Sloot's alleged murder confession. GRN correspondent Dan Collyns went "On the Record" in Peru.

(BEGIN VIDEOTAPE)

DAN COLLYNS, GRN CORRESPONDENT: Here in Van der Sloot's confession, where he talks about here -- he says that she hit him in the face with her fist and when they were actually having an argument, after he alleges that she saw this e-mail which referred to him and found out about the previous -- the Natalee Holloway case and his involvement in that. It says, "She hit me in the head on the lefthand side with her fist.

And in that moment, impulsively, with my elbow of my right arm, I gave her a -- I hit her in the face, right above her nose. There was a lot of blood all over the place, and I think she was about to pass out. It affected me so much, that I took her -- I grabbed her by the neck with both hands, and I strangled her for about one minute. And at that time, I thought, What am I doing? I kind of came to my senses, thinking, What can I do now? Because I also had blood on my shirt. There was also blood on bed. So I took my shirt and I put it on her face and pressed hard to the point where I killed her -- to the point where I killed Stephany."

He actually suggests to the police that he'd be willing to cooperate with the Aruban authorities to locate the body of Natalee.

VAN SUSTEREN: That's big of him.

COLLYNS: And he says here that, you know, "The possibility that if this process could go rapidly and smoothly there'd be the possibility that they could extradite me to Aruba, I'd be willing to talk about the case. And I would be -- I would love to -- I would be willing also to talk to the Aruban police if there would be the possibility of closing this case."

Obviously, he's talking about the case in Aruba. He would be willing to clear up all the outstanding questions and details.

VAN SUSTEREN: So he's obviously crafty enough to know that if he -- I mean, at least his thinking, at least, I assume, is that if he can get rid of his problem here in Peru, go back to Aruba, he thinks that if he somehow solves or admits or leads them to Natalee's body or whatever that he'll then go into the Aruban system. He's already gamed that system a couple times, and he -- and he's beaten those two things.

COLLYNS: Obviously, he's trying to manipulate the police. But I think in this case, the police outsmarted him.

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