On Wednesday, Mesic met Hungarian President Laszlo Solyom for talks on relations between the two countries.
Speaking to Croatian reporters, Mesic said that Croatia and Hungary had the best of relations, and that Hungarians were interested in using Croatian seaports, especially the southern port of Ploce.
Solyom reaffirmed Hungary's support for the opening of EU membership talks with Croatia as soon as possible.
Talks with Russian President Vladimir Putin focused on the situation in Russia and on the UN summit. Mesic reminded Putin of his promise to visit Croatia, and later told reporters that a visit should be arranged.
On Tuesday evening, the Croatian president had the opportunity to meet US President George W. Bush at a reception given by the US president for heads of state or government attending the UN summit.
On Thursday, Mesic is due to meet former US President Bill Clinton at a conference devoted to global problems, such as poverty, climate, corruption, and religious and ethnic conflicts.
Mesic said he would like to talk with Clinton about ways of upgrading the Dayton peace agreement to help Bosnia-Herzegovina function like all other European countries.
On the margins of the UN summit Mesic has also met Jamaican Prime Minister James Patterson and Algerian President Abdel Aziz Bouteflik.