Hall was arrested and cited for disorderly conduct, public intoxication and interference. Dorleant was cited for interference.
According to Cedar Falls police, officers observed and then responded to a disturbance outside a local bar. A bouncer told police that he was assaulted after a fight broke out inside.
Hall did not respond to police instructions and spit in the officers' faces, according to the affidavit. Police say an officer used a Taser on Hall's legs in order to get him into the squad car.
Dorleant was detained after authorities say he approached officers "in a threatening manner" following Hall's arrest.
A Packers spokesman says the team is aware of the situation and gathering more information. The Bears have not responded to an email requesting comment.
Both men played college football in Cedar Falls at Northern Iowa.
The Bears selected Hall in the fourth round (127th overall) of last year's draft. The second-year cornerback appeared in eight games last season. He appeared destined for a larger role in 2017 until the Bears signed veteran cornerbacks Prince Amukamara and Marcus Cooper in free agency.
Dorleant, an undrafted free agent, played in four games for the Packers last season but ended the year on injured reserve because of a knee injury.
ESPN's Rob Demovsky and The Associated Press contributed to this report.