From Termini Station: Take the "A Line" and after 4 stop drop off to  "Ottaviano" , the entrance at the structure is few steps form the underground.
Vatican Luxury Suites
Official Website
Via Ottaviano 105 Roma

Bed and breakfast
Residenza Palline
Vicolo Palline, 5 Roma  
From 02-25 To 02-26
price from
68.00 EUR

Bed and breakfast
Residenza Vaticano
Very central, comfortable rooms
Viale Vaticano 102 Roma
From 02-25 To 02-26
price from
62.79 EUR

Vacation Rentals
Borgo 177
Borgo 177 is located in Rome 200m from The Vatican
Bogo Pio 177 Roma
To book, look for an available date inside the calendar.