Globalization is a process with multidimensional characteristics. It brings about a lot of new perspectives and chances to all of mankind, like economic growth, rapid technological progress, avalanche of new information together with lifting up many of the traditional barriers in the international relations and people-to-people communication. Simultaneously, it contributes into sharpened disparity, marginalization of some countries and regions, thus, paving a way towards new conflicts and wars worldwide. Many countries and nations are concerned with paradoxes and controversies of the globalized world and look around for a proper solution of too many challenges and threats they face now. Amidst them as a remedy for those problems they try prospect and means of the regional integration and as a part of them also more vivid cross-border cooperation. The latter is no way a panacea for some tensions and conflicts, still alongside with some other tools and instruments of interstate relations, CBC contributes to betterment of interrelated countries' economy, strengthens mutual trust and promotes closer partnership between states, their regions and local communities. Ukraine ignores neither CBC potential, nor perspectives of good neighborhood with countries around. Being placed in a very vulnerable position since 2014 because of Russian aggression, we have to deal with hybrid war unprecedented and unpredictable conditions.