The two-day conference, to be attended by presidents, foreign and defence ministers of Central European and NATO countries, is being held ahead of NATO's summit in Chicago in May.
Upon arrival, Josipovic had an informal dinner with Slovak Foreign Minister Miroslav Lajcak, a former High Representative to Bosnia and Herzegovina.
The two officials discussed the situation in Bosnia, Southeast Europe and Europe as well as Croatia's accession to the European Union next year. Slovakia was the first EU member to ratify Croatia's Accession Treaty.
Josipovic, Slovenian President Danilo Tuerk and Slovak President Ivan Gasparovic are the leading participants of the conference which will discuss the Euro-Atlantic future of Southeast Europe, the European debt crisis, and other global security and political issues, including developments in the Middle East and the south Mediterranean after the Arab Spring.
On Saturday, the three presidents will attend a panel on the future of Europe and transatlantic cooperation at which they are expected to push for stronger cooperation among Central European countries and this region's stronger voice in European and transatlantic alliances.
Josipovic will meet with Gasparovic on the margins of the conference.