Thiam, a 22-year-old junior from Dakar, Senegal, is accused of slapping a woman and swinging a knife at her after she refused to give up her cellphone.
According to a probable-cause affidavit obtained by NJ.com, the woman "stated that the defendant threatened to take her life, and made references to previous incidents in which he had used knives to threaten her with serious bodily harm and/or death."
The Asbury Park Press reports his attorney said after Thiam's release from jail Tuesday that his client is "still in shock."
Sciarra said Thiam has "no ill feelings toward Rutgers." He said his client denies threatening the woman with a knife.
Thiam was suspended indefinitely after his arrest Friday and dismissed from the team Monday.
He has been charged with simple assault, false imprisonment and making terroristic threats, among other offenses.
NJ.com reports Rutgers coach Steve Pikiell says the team has had many obstacles this year and that this is another one it will have to fight through.
Thiam has been ordered to surrender his passport. A judge has also barred him from the Rutgers campus.
He is due back in court April 5.
The Associated Press contributed to this report.