In a statement reported by the BBC, MacCurtain said "I recognise that my behavior towards Segodisho in the 1980s violated the trust he had put in me as a Catholic priest."
"I deeply regret the pain that I have caused Segodisho, and would wish to apologize to him unreservedly. I realize, though, that such an apology cannot right the wrongs done to him at that time, or the suffering that he has endured since," he added, according to the BBC.
The BBC said the priest declined to comment on the possibility of extradition.
The U.K. Jesuit province did not directly address the question of extradition, but said that "the Society of Jesus in Britain is currently aware of an ongoing investigation by the police in South Africa."
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"Working with the Society of Jesus in South Africa we have been in contact with the complainant and his lawyers. Whilst the police investigation continues we do not wish to take any steps which might prejudice that investigation, but we have engaged with the complainant's lawyers to focus upon his immediate psychological needs."
Miranda Friedman, a spokeswoman for Women and Men Against Child Abuse, the organization which arranged the press conference for Segodisho, said he had endured "absolute exploitation" and called for MacCurtain to be returned to South Africa to face charges.
"We absolutely demand they give us an answer and with Fr. MacCurtain at 84, they are not going to use old age and health to avoid what they have done," she told the South African Broadcasting Corporation.