Yes, January is for iscrizioni, from the 14th to the 26th. You can fare la domanda in una sola, so if you find out in March you don't have a place you have to scrabble around desperately. You can't even try the paritarie religious schools as back up because you still have to hand your (single) pass in to the school where you fai la domanda (mental block for English atm).
If you have nerves of steel or don't work then you can wait until August when the school lets the provveditorato know how many people are still on the waiting list, in the hope of getting more places assigned. However at that point there is no one left on the waiting list as everyone needs their child to be sorted, so of course the school doesn't get any extra places. Sigh. E' proprio un italianata as DP says.
I'm going to ring the SJH on Weds and make an appointment. Not that I can afford the fees, but I just feel I need to hear that DD will get in somewhere.