How do I apply for the residence permit within 8 days?

Short answer: Within eight working days of entering Italy, send the postal kit to the Questura of your city, through a post office or your university's permit desk (MUR circular). It costs €116.46 for a permit of up to one year: €16 stamp, €70.46 card fee, €30 postal fee (University of Pisa).

1. Buy the €16 marca da bollo at a tobacconist.
2. Get the free kit at a post office with a "Sportello Amico".
3. Fill in Modulo 1 in black pen and capitals; stamp on page one.
4. Enclose copies, not originals: passport pages with data, visa and entry stamp; pre enrolment or enrolment certificate; proof of funds or scholarship letter; health insurance; accommodation proof; codice fiscale if you have it.
5. Pay at the counter and keep the receipt (with user ID and password) and the Questura appointment letter.

Patronati help with the kit for free (MUR circular).