Your income tax and old-age pension will be paid in Germany and will be deducted from your pay automaticly.
When leaving Germany you should apply for a Versicherungsverlauf, which will assist you when applying for a Pension in the future
- see details inside in the first link below, togeather with other tips one what must be done after arrival in Germany
As for the Bank account in Germany, tax is deducted from your account and must be declared in your yearly tax return.
How the same is done for the Italian bank, I cannot say.
You should also consider enrolment in the A.I.R.E. system
- which is obligatory for those who take up residence in a foreign country for more than 12 months
- registration frees you from tax obligations on foreign earnings
- Italian National Healthcare services can be used with health card issued in Germany
Enrolment in the A.I.R.E. is done by means of a declaration (special form available) made to the locally competent consular office within 90 days of transfer abroad.
This involves the simultaneous cancellation from the Civil Registry (APR) of the municipality of residence in Italy.
In order to facilitate and accelerate A.I.R.E. enrolment it is necessary (but not obligatory) that the enrolee display a document proving residence in the chosen foreign municipality (e.g. certificate of residence issued by the foreign authority, residence permit, identity card, utility bills, copy of the employment contract etc.).
Enrolment can also take place on the basis of information of which consular office is made aware.
3) What is the effective date of my AIRE registration?
The effective date of AIRE registration corresponds to the date in which the Comune in Italy receives the registration request from the Italian Consulate. Please note that the AIRE registration date cannot be retroactive.
If citizens, prior to their expatriation, notified their Comune in Italy of their transfer of residency abroad, the effective date of AIRE registration will correspond to the date in which they notified their Comune of their expatriation. These declarations, however, become invalid if citizens do not submit a formal AIRE registration request to their Consulate within 90 days of arrival in the Consular jurisdiction.
Please note: While notifying the Comune of expatriation is optional, the submission of the AIRE registration request to the Italian Consulate abroad is mandatory