The Law Society of Ireland says it has launched an investigation into alleged inappropriate comments that may have been posted on a private messaging group.
It is understood the alleged remarks related to female students.
In an internal email sent to students, seen by RTÉ News, the content of the alleged messages are described as "highly offensive" and give rise to "profound ethical concerns."
It also says "trainees are subject to the same rules and regulations as practising solicitors regarding ethical behaviour."
In a statement, the Law Society says it "takes these allegations extremely seriously" and it says "if they are proven to be true, disciplinary action will be taken."
It says it has taken "immediate action to thoroughly investigate the circumstances and seek to establish all the facts."
The Society also says it has reminded students of their "responsibilities and ethical obligations."
The Law Society, which is based at Blackhall Place in Dublin, is the educational, representative and regulatory body of the solicitors' profession in Ireland.
It says the "Law School's counselling service is providing additional supports and services to students."
The Law Society also says it has "suspended access to private messaging groups in the Law School" on its Wifi network.