Assuming that the text you've got goes on to explain that this email ends the correspondence and gives the go-ahead.

riscontri means checks, the editors check for items that need modification
I would say
at the end of the editing process, an e-mail is sent to the Project Manager to signal/alert of the completed revisions

or flip the phrase:
the project manager is notified via e-mail of the editing process completion

or yet another

after being notified via e-mail that the editing process is complete, the Project Manager will give the green light