How to Fight Terrorism

Everyone seems to have an opinion on how to deal with terrorism and now the Catholic Church wants an International Convention on Terrorism. Here is a qoute to give you an idea on the Vatican's view on terrorism:

The international fight against terrorism must include an international binding agreement to search for a non-violent solution, according to the Holy See’s permanent observer to the United Nations.

You can read more about this at the following link:
International Convention on Terrorism

The question is, Can terrorism be fought with non-violent means?