Yes, you can. Just get your Italian visa and Tunisia visa in China, and then go out. But pay attention to the validity of your visa in these two countries.

If you get an Italian visa, you don't have to apply for visas from other European countries, because Schengen countries are visa-free. Schengen countries are:

Austria, Belgium, Denmark, Finland, France, Germany, Iceland, Italy, Greece, Luxembourg, Netherlands, Norway, Portugal, Spain, Sweden, Hungary, Czech Republic, Slovakia, Slovenia, Poland, Estonia, Latvia, Lithuania, Malta, Switzerland, European Union and Liechtenstein. In other words, if you apply for any Schengen country, other countries can go.