Dear @buchio,
Welcome back to the Wefugees Community and thank you for reaching out to us.
I don't think there will be a hindrance for you - you did not get deported from Germany back then, right? Unfortunately, I can not share any experience regarding the visa processing time at the German embassy in Italy. Luckily, you are allowed to travel for up to 90 days within a period of 180 days without a visa anyway.
All the best for you and don' t hesitate to get back to us with any further questions.
Meike