Bailey was sentenced to 25 years in prison for the death of the Frenchwoman in West Cork in 1996.
The former British journalist has always denied any involvement.
Ms Toscan du Plantier’s beaten body was discovered outside her holiday home near Schull in December – almost 25 years ago.
Judge Barns ruled that Bailey would not be forcibly sent to France, following the European arrest warrant (EAW) issued in 2019.
When Bailey was found guilty, he had no legal representation for the case, failed to appear in court and called the situation ridiculous.
To this day, he has maintained his position that it had nothing to do with the death of Ms Toscan du Plantier.