Gardaí are investigating the actions of a number of people at a commemoration ceremony in Limerick city yesterday, in which threats were made to Irish people serving in the British army.
The threats were made at the annual Seán South commemoration ceremony, which was organised by Republican Sinn Féin.
It was attended by around 50 people and a number of them were dressed in paramilitary uniforms.
Irish men and women who are members of the British army were threatened in a statement claiming to be made on behalf of members of the Continuity IRA who are imprisoned in Portlaoise Prison.
They said that they are "legitimate targets" for the CIRA.
Gardaí had a presence at the commemoration march in Limerick and also at the republican plot in Mount St Lawrence cemetery, but no arrests were made.
Gardaí in Limerick confirmed that an investigation is under way into the statements made at yesterday's event.
A senior garda said any statements or activities that suggest actions that are unlawful or illegal are fully investigated.
A spokesman for Republican Sinn Féin in Dublin said yesterday's commemoration in Limerick had not been organised by it.
It said it had organised its own commemoration at Seán South's grave last Saturday.
Fianna Fáil justice spokesperson Niall Collins, a Limerick TD, described yesterday's activities and the statements made as disgraceful and regretful.
He said a trend was emerging in recent times of these types of displays.