Hello and thank you for reaching out to us again.
I saw that my colleague Éanna provided already some information on your wife's options in one of your ealier opened threads here.
Regarding your perspecitves: After successfully completing a degree at a German university, you have the option of obtaining a residence permit for 18 months to search for a job. You can find more information on this here at “Make it in Germany.” If you found a job, you may apply for a residence permit according to section §18b of the German Residence Act. One of the requirements is that you have a concrete job offer from an employer in Germany. It is important that this is a qualified position. This means that a university degree or qualified vocational training is usually required to perform this job. Unskilled work is therefore not sufficient.
The job does not have to be related to your qualifications. However, you will need a license to practice your profession if you want to work in a regulated profession.
Here some information on the "Fiktionsbescheinigung" since there seem to be some confusion (source):
In certain circumstances, a person who has applied for a residence permit is considered to be legally resident until a decision has been made on their application. This is the case, for example, if a person does not have a residence permit but is nevertheless legally resident in Germany – such as persons who enter without a visa and are allowed to stay in Germany for a certain period of time (e.g., US, Canadian, Israeli, and Japanese nationals).
This so-called “fictitious permission/Fiktionsbescheinigung” is certified with a fictitious certificate in accordance with Section 81 (3) of the Residence Act
The fiction of continued validity pursuant to Section 81 (4) of the Residence Act must be distinguished from the fiction of permission. This applies in cases where a person already has a residence permit and applies for its extension or for the issuance of another residence permit before it expires. In this case, the old residence permit continues to exist with all legal consequences (e.g., access to the labor market, entitlement to social benefits) until a decision is made on the new application. In this case, too, there is an entitlement to a certificate of fiction.
Anyone who has a provisional residence permit in accordance with Section 81 (4) of the Residence Act can travel abroad and return to Germany legally. This is not possible with a provisional residence permit in accordance with Section 81 (3) of the Residence Act. The difference is that in the case of Section 81 (4) of the Residence Act, an existing residence permit is considered to be valid, which means that the entry requirement of possessing a valid residence permit is fulfilled. In the case of Section 81 (3) of the Residence Act, this is different because only the stay is considered to be permitted without a residence permit.
I hope this helps and please don't hesitate to get back to us with any further questions.
All the best,
Meike