Croatia's Mesic arrived in Tbilisi on Saturday evening for a two-day visit to this former Soviet republic.
On Sunday morning he held talks with his Georgian counterpart Saakashvili, and before they held a joint news conference, the two presidents attended a ceremony of signing of a cooperation agreement between the two countries' foreign affairs ministries and of an agreement regulating cooperation in European integration processes.
These were the first bilateral agreements the two countries signed after they established diplomatic relations in 1993.
The Georgian head of state showed interest in Croatia's experience in the implementation of reforms within the transition process.
Our task and our goal is to step up reform processes and economic cooperation and in this sense we would like to learn much from Croatia's experience, Saakashvili said announcing that Georgian ministry officials would visit Croatia.
President Mesic, who is the first Croatian president to have visited Georgia, said he was glad about the signed agreements which he described as first steps in the establishment of a legal framework for the furtherance of bilateral cooperation.
Mesic and his host discussed also NATO membership bids, bilateral cultural cooperation and the easing of visa regime for tourist groups arriving from Georgia in Croatia.
They told the news conference that they had been satisfied with the results of today's meeting.
Saakashvili also spoke about the current political situation in his country and attempts for annexation of parts of Georgian territory.
He mentioned the threats from Russia in case that Georgia decided to leave the Association of the Independent States.
The relations between the two countries became to worsen earlier this year over an energy crisis when some problems erupted in the delivery of natural gas and power supplies from Russia to Georgia. Recently, Moscow issued a ban on the import of wines and mineral water from Georgia.
On this occasion, the Georgian president said that nothing would halt the ongoing processes and democratic development of his country.
Later in the day, Mesic is scheduled to meet the Georgian Parliament Speaker, Nino Burjanadze, and Prime Minister Zurab Noghaideli.