thank you for using our platform for your concerns. We are looking forward to your contribution in the community.
As for your question:
The asylum law in Italy is getting more stricter due to the asylum politics in Itlay, therefore at this stage if you have a student permit and studying in Italy I would suggest to finish your studies and then you can apply for a working visa, but you have to di this within the time your visa is valid(below in general the requirements). As to your question in regards to the chances of being able to study again if the asylum case gets rejected, once you apply for asylum your student visa is not valid anymore and though all the rights coming with it.
"TERMS AND CONDITIONS FOR POST STUDY WORK VISA IN ITALY
- To apply for a temporary stay permit extension, one must show economical capability of at least 8,500 Euro in your bank account and proof of a valid housing contract issued by the Municipality.
- Students can only work up to 4 hours a day and 20 hours per week while on a study VISA, and can work full time during Vacations. Anything more than that, and the student will have to convert his student visa into a work permit.
- For internship post-graduation in Italy, students will have to ask for a renewal of student residence permit, at the Questra, and this doesn’t guarantee an automatic renewal. So beware while applying for internship. Also, Internship period cannot be longer than 12 months."https://www.schengenvisainfo.com/italy-visa/
I hope I could help you at this stage. If you have further questions please do not hesitate to address them here.