Without experience or certification, I think you might have a hard time finding work in Europe, I'm afraid.
I've been teaching for 4 years, I have a PGCE, a TEFL (on-site) and modules 1, 2 and 3 of the TKT at band 4. It still took me nearly 3 months to find a job in Europe because there are lots of experienced qualified teachers and not that many openings in Europe right now! Most of the schools I looked at in Italy were asking for upwards of 3 years experience, plus degree, plus ESL certification.
When teaching ESL, having knowledge of your host countries language is not particularly helpful. Most schools don't want you to speak to the students in their native language, they want full immersion in English. The fact you are able to go to Italy in person and look for work will help you, but really the best thing for you to do if you want to teach seriously, is concentrate on your degree, get yourself TEFL or CELTA certified and then focus on teaching.
To gain experience in the mean time, you could take on some summer camp work in the UK. They don't usually require all the qualifications and it would help you gain a place in Europe when you are qualified.