The Broadcasting Authority of Ireland has upheld a complaint against Cork 96FM's Neil Prendeville Show.
A listener had objected to comments the presenter had made about foreign nationals during a debate about inequality in society in a programme broadcast on 14 May.
The BAI upheld the complaint in part. It said the presenter's comments lacked impartiality and objectivity, and were not counterbalanced by an alternative perspective.
The BAI rejected three complaints against RTÉ.
A representative from Pavee Point had complained about an item broadcast on Prime Time on 5 March.
Martin Collins had claimed that comments made by the presenter were "highly offensive and amounted to blaming Travellers for the racism they experience".
The Irish Traveller Movement also complained about the same programme.
In response, RTÉ accepted that the show contained some elements that may have contributed to perceptions of unfairness, but said it had performed a public service by facilitating debate and discussion on the topic.
A complaint against a Liveline programme broadcast on 6 March was also rejected by the BAI.
A listener had claimed the presenter had failed to present the Revenue Commissioners and its staff in an impartial and objective manner during an item on property tax.