Applying for a Schengen visa in Paris?

I am currently having a Schengen visa (short stay visa: 90 days). My visa was issued by the French embassy, multi-entries, valid for 1 year, with a maximum stay of 90 days. And it will expire next month. Currently, I am staying in Paris.
I want to ask:
Is it possible to ask for a new Schengen visa (short terms, etc.) in Paris when my visa is expired? Or Do I have to leave France to be able to ask for new visa from another country that is not a Schengen country?
If yes, could you please point me the information (for example: website, or who should I need to contact to get the information, etc.)
Best Answer
Most countries do not allow visitors to extend or replace their visa when actually staying in the country. There are of course a few exceptions, but you must apply for a French visa in your usual country of residence.
Quoting from "France Diplomatie Visa FAQs":
I am present in France and my visa has expired. Can I send my passport to the consulate in my usual country of residence to extend my stay in France?
No. You must return to your usual country of residence to submit a new visa application.
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How do I fill out a Schengen Visa application in France?
How to Fill-in the Schengen Visa Application FormHow long does it take to get a Schengen Visa for France?
You will have to wait at least 15 days for your Schengen Visa to be processed, though the processing time will depend on your case. In specific cases, embassies can take 30 days to process a visa, and the Schengen Visa processing time could even be as long as 60 days in extraordinary circumstances.Can I apply for Schengen Visa now?
Applicants are now able to apply more in advance. Before February 2020, 3 months before the scheduled trip to the Schengen Area was the earliest one could apply but this window has been extended to 6 months.Is France accepting visa applications?
As of April 7, 2021, France-Visas will provide students with the possibility of sending digital copies of their supporting documents when completing their visa application online. This optional procedure will allow an accelerated process by the external service provider (ESP).How to book an appointment?- Schengen Visa [France] [EN]
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Answer 2
As Tor-Einar Jarnbjo correctly pointed out (+1), Schengen visas cannot generally be obtained from within France (or, in fact, anywhere in the Schengen area). It's sometimes (but not always) possible to apply for a residence permit from within a Schengen member state. In France, there are some exceptions (and as a PhD student, you might qualify for one) but you generally need to obtain a long-stay visa from a French consulate abroad before applying for a student residence permit (i.e. you can't apply for it if you are visiting the country on a short-stay visa).
Furthermore, Schengen visas (and other French visas) should be obtained from the consulate competent for your usual place of residence. In practice, the requirements vary and you might be able to skirt the rules but in principle it means that merely going to the UK, Turkey or some other place outside the Schengen area is not enough, you also need to be a resident there to apply for a Schengen visa. Otherwise, you might have to go to your last country of residence.
In any case, the relevant authority to contact within France for all immigration matters is the préfecture of your place of residence (in Paris, the préfecture de police).
Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.
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