Hello fph. I tried bitmobility in Prato with same results: it blanked after the registration.
I will add later here below the apps I use in Italy without Google services.
without MicroG
Famiglia GBR
BNL Banca app
BNL Trading
Works flawlessly (Xperia 10 II, 4.5.0.19 ).
WITH MicroG
Intesa Sanpaolo
Works flawlessly (Xperia 10 II, 4.5.0.19 ).