Welcome to the Wefugees community and thank you for your question.
To me it sounds very likely that you will face a Dublin procedure. German or Belgium authorities won't accept your application for asylum because you have entered Europe in Italy. You can apply for asylum there.
Regardind your wife:
If she already had an asylum procedure in Belgium she won't be deported within EU in accordance with Dublin III. She can't have a second procedure in another country anyway. In addition, she might get deported back to her home country. The only option would be to appeal against the decision of Belgian authorities.