Gill was released from police custody on Sunday afternoon, however, and will not be charged.
Police spokesman Brian Dixon said he didn't know why prosecutors decided not to file charges against the 23-year-old Gill, who has been released from jail.
The Marion County prosecutor's office didn't immediately return a call seeking comment.
In the police report, Officer Ricardo Flores Jr. says he called out to Gill, who tried to stand up, but couldn't and kept falling over. Flores says he eventually leaned Gill against his police car to keep him from falling.
He describes the barefoot 23-year-old's blue shirt and khaki shorts as disheveled and soiled.
Gill was arrested for public intoxication.
Colts spokesman Craig Kelley says the team is aware of the incident but doesn't have all the details and has no comment.
Gill is in his second year with the Colts and played in a scrimmage game Saturday in Anderson as part of the team's training camp.
Information from The Associated Press was used in this report.