I am a Filipina on a short-term training program in Greece (3 months only) and was only given a single entry Type C Schengen Tourist Visa. I am nearing the end of my maximum 90-day stay but have been invited to extend for another 3 months. Can I apply for a visa here, or would I need to go back to my country and go through the whole application process again? Alternatively, would I be able to extend past the maximum 90-day stay usually held for tourists? Thank you very much in advance.
In general, Visa's are granted in your country to go to another country. In a country that isn't your own, you try to get residency. Different process and paperwork. Also, can take forever. However, if you have what is necessary to apply for residency, then proof of application may be enough to no be considered in violation of your Visa, when it expires.
See if a local can help you, or find an office that works with work/travel migration.