Applying for a Multiple Entry Visa while in China

Hello,
My sister is studying abroad in Shanghai, and for some reason when her school processed the entry permit they only gave her a single entry one. She has a German passport and it expires sometime in August...but she is only staying there till July. My question is can she apply for multiple entry one while in Shanghai or does she have to leave China to do this?
She wants to travel to other countries while she is there.
I appreciate your help!