Should I accept a PhD position without a scholarship?

Short answer: Almost never, unless you have other secure funding, such as a government scholarship or written funding from an employer.

• A "senza borsa" position gives you the PhD student title but no monthly payment.
• For the visa you still need to show at least €10,179.85 a year from lawful, traceable sources (MUR circular).
• Three years of full time research with no income is very hard. Ask the program office whether funded places have opened up in past years when funded candidates withdrew.