Nichols said it was not clear if Simpson would be arrested because the former football star has said he didn’t have any weapons or any of the property that was taken Thursday.
“If we had enough to arrest him last night then we would have,” Nichols said.
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The Hall of Fame running back has said the items had been stolen from him and rightfully belonged to him.
While there is a chance that some of the property that was taken may have been Simpson's, Dillon said, "that doesn't mean a crime didn't occur."
Simpson, accompanied by his lawyer, is expected to make a full statement to police on Monday. He told investigators he has no plans to leave Las Vegas before that happens.
The former running back met with investigators Friday and made a statement but would not allow detectives to ask questions, Dillon said.