Ceann Comhairle Seán Ó Fearghaíl has referred comments made by Solidarity TD Paul Murphy in the Dáil today to the parliamentary legal adviser.
This follows an initial examination of the transcript by Mr Ó Fearghaíl.
If it is found that Mr Murphy's comments breached the rules surrounding Dáil privilege, they could be referred to the Committee on Procedures and Privileges.
During Leader’s Questions, Mr Murphy used Dáil privilege to accuse gardaí of committing perjury during his trial for the false imprisonment of former tánaiste Joan Burton and her adviser Karen O'Connell.
Mr Murphy's comments were described by Fianna Fáil leader Micheál Martin as "unprecedented and opening up all sorts of new horizons" and said the appropriateness of the remarks should be examined by the House.
Mr Murphy called for a public inquiry to examine the difference between what was said by gardaí during the Jobstown trial, and what video evidence showed.
"Will we keep her here for the night ... not one, not two, but three gardaí, up to the rank of superintendent, swore under oath that they heard me say those words at the protest in Jobstown.
"Words designed to portray a menacing crowd.
"Yesterday in the Dáil the Taoiseach said he was struck by the moment when that was said ... Taoiseach you couldn't have been struck by it, because it didn't happen".
Furthermore, he said, "there is a public interest in a public inquiry".
The Ceann Comhairle said it was not open to the House to review a court case.
Mr Murphy said he was not asking for the House to review a court case, but he was asking for a public inquiry.
Paul Murphy asks Leo Varadkar, in the Dail, for an independent public inquiry into An Gardaí pic.twitter.com/7RxcB2W1Ve— RTÉ News (@rtenews) July 12, 2017
Taoiseach Leo Varadkar, however, said Mr Murphy had a fair trial.
"You are not a victim here, you are not a victim of any conspiracy, you had a fair trial and were acquitted," he said.
He said the protest was ugly and violent, and may not have been kidnapping, but it was thuggery.
Mr Varadkar said what Mr Murphy should do now was to offer a public apology to Ms Burton and Ms O'Connell.
Leo Varadkar tells Paul Murphy that he is not a victim of any conspiracy but says his behavior wasn't right and challenges him to apologise. pic.twitter.com/4iwAxEEayu— RTÉ News (@rtenews) July 12, 2017
Speaking outside Leinster House following the Dáil discussion, Mr Murphy said some of the Taoiseach's comments were disgraceful.
He added that he would be reviewing Dáil transcripts on the matter.