Williams claimed a friend of his, Minnesota Vikings wideout Kendall Wright, was behind the wheel at the time of the incident, the Dallas Morning News reported Thursday, citing a Frisco (Texas) police report.
The 28-year-old Williams was arrested by Frisco police and jailed early Saturday morning on charges of public intoxication -- a Class C misdemeanor. He was released later in the day after posting a $369 bond.
Police responded to the accident at 4:45 a.m. local time and found an abandoned 2017 blue Lamborghini that had hit a light pole. After determining the owner of the vehicle, police arrested Williams near his residence and charged him with public intoxication.
Williams released a statement through his lawyer that he struck the pole after swerving when the driver in front of him slammed on his brakes, while attorney Chip Lewis refuted the police report, saying his client did not hit a light pole.
According to police records, Williams was riding an electric bicycle in the road when police came upon him. He told the officer that Wright had called him to alert him that he has crashed his Lamborghini.
Williams told police that "his friend was an idiot and he was driving [his scooter] to see what happened to the vehicle." Williams also told the officer that he had been at his home the "whole time."
Wright and Williams were teammates together at Baylor University. Williams told police that Wright left the scene of the crash in a yellow Camaro and headed to a nightclub.
Williams insisted to police that he'd "never put himself in a [messed] up situation where we would be there" and "stated multiple times throughout [the] conversation that he would never put himself in a bad situation and he would not lie to us," according to the police report.
Once Williams was taken into custody, police found the keys to the Lamborghini in the front pocket of his shorts.
Police photos from the scene also appear to contradict the account from Williams' lawyer, showing the damaged vehicle and a fallen light pole nearby.
Williams could still face charges of fleeing the scene and striking a structure, fixture or highway landscaping.
Entering his sixth season with the Cowboys, Williams is recuperating from a broken foot that has sidelined him for the team's offseason programs. He underwent surgery in February and is not expected to be ready until training camp.
Williams established a career high with 53 receptions last season. He has never missed a game since joining the Cowboys in 2013 as a third-round pick from Baylor.
In 80 regular-season games, including 66 starts, Williams has 230 receptions, 3,359 receiving yards and 20 touchdowns. He also has eight receptions for 198 yards and three scores in three playoff games.
The Cowboys overhauled their receiving corps in the offseason, cutting ties with longtime standout Dez Bryant and signing free agents Allen Hurns and Deonte Thompson. They also added a pair of receivers in the NFL Draft.