Published Friday, 27 August 2010
Father James Chesney was never questioned by police despite being suspected of involvement in the atrocity.
The investigation into the attack, which killed nine people and injured dozens in the Co Londonderry village, is now under the remit of the HET.
In a statement, the HET said it was contacting families "to offer to meet them and ask if they wish to become involved in a review of the case."
"The HET has not completed a review and appreciates that the families had been awaiting the findings of the Police Ombudsman's inquiry, which they received on Tuesday."
Gordon Millar, who lost his father in the car bombings, has welcomed the move.
"It gives us a bit of hope now," he told UTV. "After the Police Ombudsman's report we were just thinking everything was back to square one again.
"But this gives us a good bit of hope that people are now starting to enquire into it.
"All I want is answers and the truth. That's all I ever wanted and if we can get it then all the better."
The Ombudsman's report found that the Claudy victims were "failed" by a "collusive act" between the RUC, the Government and the Church, "compromising" the investigation into the attack.
Secretary of State Owen Paterson, who apologised for the cover-up on behalf of the UK Government, rejected calls for a public inquiry as "all the main players are now dead".
Fr Chesney was transferred in 1973 to a parish in Co Donegal outside the Northern Ireland jurisdiction, where he died in 1980.
Following the publication of the report, Cardinal Sean Brady denied that the Catholic Church covered up his alleged activities.
No-one has ever been charged in connection with the Claudy murders, which happened hours after British troops stormed republican no-go areas in Derry as part of Operation Motorman.