"We would do a lot more with it than what they're doing," Cllr John Cassin has again criticised the HSE over the Kelvin Grove site.
Cllr Cassin raised the issue again at this month's full meeting of the Council and he asked if there had been any correspondence from the HSE about the site but he did not get an answer.
Cllr Fergal Browne previously said the Council are "going nowhere" with the former psychiatric unit amidst calls for a women's refuge to be installed on the site.
He said giving the Kelvin Grove site on the Athy Road to the HSE was a "major mistake" as it was confirmed that the building is on the Vacant Sites Register.
Chief executive of the Council, Kathleen Holohan, said if the local authority sought to get the house back from the HSE they would consider it, but it would "have to be purchased".