Obtain a new X1 visa

Hi there, I am currently studying in Shanghai on residence permit until end of July which has been a X2 before. In September I am going to pursue my master degree in Beijing and therefore will receive a new X1. My question is: Can I apply for the new one in (Shanghai) or do I have to go to another country e.g. Hong Kong or Taiwan or even Germany? Thx a lot for your help!