The CSC is allowed by CPP Article 606.1E to evaluate evidence that forms any part of the grounds of the appealed judgment, if the appeal claims that the grounds of the judgment are lacking, contradictory or manifestly illogical, when the defect results from the text of the appeal decision or any document of the proceedings specified in the arguments of the appeal to the CSC.
The CSC is allowed by CPP Article 606.1D to evaluate whether decisive evidence was not gathered during the evidentiary hearing of the appealed trial, although it had been requested, if that is argued by the appeal.
The introduction of new evidence to the CSC is not allowed.
Sources:
http://www.leggeonline.info/leggi/procedurapenale/art606/casi_di_ricorso/
Gialuz, Luparia, and Scarpa, eds. The Italian Code of Criminal Procedure: Critical essays and English translation. Wolters Kluwer Italia (c) 2014
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The Chieffi CSC panel and the Marasca CSC panel each used CPP Article 606.1E in their respective motivation reports to evaluate evidence.