The image above is an example of a damaged record from the town of Malvito in the Cosenza province. Precious little is visible. I can see it is a transcribed birth record, meaning that the original had been damaged before and they had to reconstruct the documents.
If you feel you have the correct document, your first step would be to pull what information is visible from the document. This child was named Filomena [unknown surname], was born in May of 1864, and her birth occurred "today." Filomena married in Malvito in 1904, knowledge of which is due to the marriage notation, written sideways in the margin, which is partially visible. I know from what microfilm I was using that the birth occurred in the town of Malvito.
The Italian civil records that you will find on microfilm were microfilmed at the Archivio di Stato [provincial archives] and is the copy that originally was held in the Tribunale [district court]. A second copy of these documents were made and are kept in the town's Stato Civile [civil record's] office.
Most times these offices won't give you a photocopy of the document, but rather will provide an extract or certified copy. However, if you tell them the other copy is damaged (or you go to their office or send someone on-site) they are more apt to make exceptions.