By Mary Campbell BBC NI Dublin correspondent

There is growing pressure on the Irish government and Dublin City Council to restore the building, which some have dubbed "Ireland's Alamo".

The building is at Number 16 Moore Street

Number 16 Moore Street was where the leaders of the rising - James Connolly and Patrick Pearse - wrote their surrender note.

A wounded Connolly was said to have been treated for his injuries at the house.

But 90 years later, it is now in a sorry state and James Connolly's grandson, also James, wants it restored.

"My concern is that it will be neglected, overlooked and eventually demolished and there will be nothing left of this historic house," he said.

Ireland should follow the examples of other countries which preserve the sites where battles began and ended, he said.

The Irish government said it was up to Dublin City Council to decide which buildings should be preserved.

However, the council said it was not that straightforward.

James Connolly's grandson wants building restored

The council's Martin Kavanagh said: "This particular building is the subject of a compulsory purchase order, which is on appeal to the Supreme Court.

"However, it is an objective of our city development plan that the building be preserved and turned into a commemorative centre for the events of 1916.