The Dáil has voted to accept a motion calling on the Government to establish a Commission of investigation into the death of Shane O'Farrell.
The 23-year-old law graduate was killed in a hit-and-run while cycling near his home in Carrickmacross, Co Monaghan, on 2 August 2011.
The driver of the car, Zigimantas Gridziuska, had previous convictions including for theft, drugs and road traffic offences and received suspended sentences for some of these.
Originally from Lithuania, he also had convictions there for theft and criminal damage.
Gridziuska was on bail for other charges at the time of Mr O'Farrell's death.
He left the scene but later handed himself in to gardaí.
The Garda Síochána Ombudsman Commission investigated the matter and found no evidence of criminal conduct by gardaí in the investigation into the death of Shane O'Farrell.
This afternoon the Dáil accepted a Sinn Féin amendment to a Fianna Fáil motion which criticised GSOC for delivering its report in a timeframe that was "not acceptable".
The amended motion stated that the case involved multiple failures on the part of several justice agencies of the State, resulting in Zigimantas Gradzuiska being at liberty on the date of the death of Mr O'Farrell.
It stated that "it is now necessary to have the actions of An Garda Síochána, the Director of Public Prosecutions, GSOC, and the courts examined in order to establish the truth as to how such failures took place".
The motion, which was accepted by the Dáil, calls on the Government to immediately establish a public inquiry into the death of Mr O'Farrell and to ensure that adequate information systems exist within the Courts Service so that courts can immediately access information in respect of sentences imposed or orders made on persons previously convicted of offences.