Garda in Clifden have interviewed a juvenile in relation to damage caused to the Holy Trinity Church in Galway.
A file has been sent to the Director of Public Prosecutions.
Earlier, the Catholic Archbishop of Tuam condemned the attack on the Church of Ireland church in Errislannan as an act of persecution against all Christians.
The contents of the church were almost completely destroyed in the attack.
In a statement Dr Michael Neary praised the priest in charge of the Omey Group of Parishes, the Reverend Stan Evans, for his bravery and perseverance.
Dr Neary added that the damage which was discovered yesterday at the church near Clifden is not just a criminal act. "It is an act motivated by anti-Christian sentiment and is a challenge to freedom of religious expression in Ireland today," he said.
He said religious freedom is at the heart of human rights and that securing it has not been without cost.
"In too many countries, places of worship are being destroyed and people are being killed and persecuted for their religious beliefs," the archbishop's statement continued.
North Connemara community shocked after a local Church of Ireland chapel was almost completely destroyed by vandals pic.twitter.com/ZjZsPY6dc9
— RTÉ News (@rtenews) October 26, 2017
The Church of Ireland Bishop of Tuam, the Right Revd Patrick Rooke, also issued a statement about the desecration of the church, saying he was "horrified and saddened by the wanton destruction carried out".
He added that Errislannan Church is maintained and used by a very small church-going community in the summer.
"This is a most devastating attack on a sacred place," he said.
"I have no doubt, however, that they will galvanise the necessary support to ensure that the major repairs are carried out and worship will resume again next summer as usual."
