That's ordinary in Italy. Many Catholic saints have there appendages and organs distributed and on display throughout the world. Most of the parts are in Italy. As another poster mentioned, in the cathedral they have the tongue of a saint on display. (Actually,I've been to Padua, they have a lot more than just a tongue.) Galileo is a bit odd as he's a secular scientist not a holy figure, but it's not that odd.
Also, for fun, current distribution of 'Galilei' in Italy:
http://gens.labo.net/it/cognomi/genera.html?cognome=galilei