The family of Sophie Toscan du Plantier say they want an official inquest into her death.
It follows comments from Tánaiste Micheál Martin suggesting Ireland’s legal system “proved incapable of meeting its responsibilities to Sophie”.
He added that the “the evidence against the main suspect was broad and deep” and that Mr Bailey was a “violent man”.
39-year-old French filmmaker Sophie Toscan du Plantier was murdered at her holiday home in West Cork in 1996.
Local resident Ian Bailey was arrested by Gardaí for questioning but never charged; however, in 2019 a French court convicted him of Ms Toscan du Plantier’s murder in his absence.
Mr Bailey did not attend the trial and died earlier this year maintaining his innocence.
Sophie Toscan Du Plantier's uncle Jean Pierre Gazeau told The Hard Shoulder they want to see movement on her case.
"I fully support what Mr Martin said yesterday," he said
"We believe that an official inquest must be launched - we are waiting [for] strong and decisive action from the Irish State.
"There are too many flaws in this sad and tragic story... now we cannot wait more".
Mr Gazeau said he believes the State failed in several ways.
"The Irish State really failed - we have so many examples of this kind of failing," he said.
"We have the feeling that many, many advances could have been done in 1997 already.
"[One of the] early failures is to make Ian Bailey free after just 12 hours.
"The fact that the DPP didn't take a decision and allowed the release of a text against the work by the Garda in 2000."
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'A lot of things we don't know'
Mr Gazeau said as far as he is concerned justice has been served in France.
"French justice took a decision in 2019 so for us Ian Bailey has been considered as a killer and has been judged in France in absentia," he said.
"But a lot of things we don't know - we don't know exactly what happened between 11pm on December 22nd 1996 and 10.30am the next day.
"We have a complete dark period of time, we don't know anything.
"We don't know the exact time of the death of Sophie, we don't know if Ian Bailey was alone or was with someone - we don't know anything about that period".
He added that he welcomes renewed interest in the case with new documentaries and books.
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