The Irish internationals have since been released from custody according to the BBC
Paddy Jackson and Stuart Olding are among three men arrested by the PSNI "in relation to a number of alleged sexual offences", according to the BBC.
The broadcaster reports that the pair were taken into custody and questioned in relation to alleged sexual offences reported to have taken place at a property in south Belfast on June 28.
Both Jackson and Olding have since been released from custody, but the report adds: "the PSNI have confirmed in a statement that a file will be prepared for submission to the Public Prosecution Service."
Paddy Jackson was left out of the Ireland squad to face New Zealand this weekend in Chicago for "personal reasons", according to a press release from the IRFU on Monday.
Ireland face the All Blacks on Saturday at 9pm Irish time.