Wearing a grey suit and flanked by two prison guards Pacteau appeared at this morning’s court sitting at the High Court in Glasgow.
He signed a section 76 letter in the court admitting guilt in the case.
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Pacteau is charged with murdering the 24-year-old student nurse, after she disappeared while on a night out with friends in the city in the early hours of 12 April.
Her body was found at a farm outside Glasgow four days later.
Ms Buckley, from Mourneabbey in County Cork, had moved to Glasgow in February to study occupational therapy.
Her disappearance sparked one of the largest investigations ever undertaken by Glasgow Police.