Welsh international John Oster and striker James Hayter spent time in police custody in the early hours of Sunday following the incident.
They were both arrested by officers during a night out in Doncaster after returning from the team's fourth-round FA Cup defeat at Derby on Saturday.
Oster, aged 31, was arrested for being drunk and disorderly and is now on police bail.
Hayter, 30, who is alleged to have been involved in the same public order incident, will not face any further action.
The incident is understood to have developed when Hayter was told by police officers, using recently granted dispersal powers to tackle alcohol-related problems, to leave the town centre because of his behaviour.
When he was seen again a short time later he was arrested and Oster was also taken into custody when he tried to intervene on his team-mate's behalf.
The Rovers board was due to meet yesterday afternoon and the disciplinary matter was on the agenda but the outcome of the meeting is not known.
Fans at Tuesday's 4-1 defeat by Middlesbrough were wondering why neither player featured in the Rovers squad but club officials are adamant both were suffering from injuries. Oster was said to have a hamstring problem and Hayter felt "unwell".
A South Yorkshire Police spokesman said: "Two men were arrested in the early hours of Sunday morning. A 31-year-old man was arrested for drunk and disorderly behaviour and was later released on bail and a 30-year-old man was arrested for refusing to leave the area under a section 27 dispersal order but was later released with no further action to be taken."
Midfielder Oster, who was signed last summer from Crystal Palace, has become a key player and is popular with supporters. Some have posted supportive messages on fans' websites. He played in the Premier League with Everton and Sunderland earlier in his career.
Isle of Wight-born striker Hayter was a record signing by Rovers when he joined from Bournemouth for £200,000 in May 2007.
He had been one of the south coast club's top scoring players when he moved to Doncaster for a then record fee. He became a Rovers legend when he scored the Wembley goal that took them into the Championship for the first time ever
They were both arrested by officers during a night out in Doncaster after returning from the team's fourth-round FA Cup defeat at Derby on Saturday.
Oster, aged 31, was arrested for being drunk and disorderly and is now on police bail.
Hayter, 30, who is alleged to have been involved in the same public order incident, will not face any further action.
The incident is understood to have developed when Hayter was told by police officers, using recently granted dispersal powers to tackle alcohol-related problems, to leave the town centre because of his behaviour.
When he was seen again a short time later he was arrested and Oster was also taken into custody when he tried to intervene on his team-mate's behalf.
The Rovers board was due to meet yesterday afternoon and the disciplinary matter was on the agenda but the outcome of the meeting is not known.
Fans at Tuesday's 4-1 defeat by Middlesbrough were wondering why neither player featured in the Rovers squad but club officials are adamant both were suffering from injuries. Oster was said to have a hamstring problem and Hayter felt "unwell".
A South Yorkshire Police spokesman said: "Two men were arrested in the early hours of Sunday morning. A 31-year-old man was arrested for drunk and disorderly behaviour and was later released on bail and a 30-year-old man was arrested for refusing to leave the area under a section 27 dispersal order but was later released with no further action to be taken."
Midfielder Oster, who was signed last summer from Crystal Palace, has become a key player and is popular with supporters. Some have posted supportive messages on fans' websites. He played in the Premier League with Everton and Sunderland earlier in his career.
Isle of Wight-born striker Hayter was a record signing by Rovers when he joined from Bournemouth for £200,000 in May 2007.
He had been one of the south coast club's top scoring players when he moved to Doncaster for a then record fee. He became a Rovers legend when he scored the Wembley goal that took them into the Championship for the first time ever