According to this archived map the EU is and has been involved in many projects under the Service for Foreign Policy Instruments (FPI) umbrella.
This page explains how conflict prevention, peace and stability projects work in more detail:
The EU has financed more than 1,000 crisis response and conflict prevention projects carried out worldwide over the past 10 years. They helped to alleviate tensions, prevent conflict through mediation, broker and implement peace agreements, reintegrate persons involved in conflict into society, and ensure transitional justice and accountability.
However, it does not seem to include details about initiating such projects. How does the EU decide if a case should be considered and how much funding is required?