This was the first meeting between the presidents of the two countries since Croatia gained independence.
"This was our first meeting and, clearly, we talked about relations between our two countries, which can be far better given the big success Ireland has achieved in developing democratic institutions, but above all in activating its own economy," Mesic told Croatian reporters at the Croatian Embassy given that McAleese never speaks to the press after state meetings.
"The country which used to export labour is now importing it, virtually from all over Europe," Mesic said, adding that it was therefore important for Croatia to motivate Irish financiers, investors and capital to bring technology and investment to Croatia.
"Their tourists are coming in increasing numbers but we want the capital to come too."
Mesic recalled that Irish capital was present in many new European Union member-states, which he said opened possibilities for Croatia, currently negotiating accession.
"We have an opportunity to convince them to come to Croatia, to realise that we have a compatible legislation and that we can offer them the conditions they have elsewhere, perhaps even better ones."
On Wednesday, Mesic is scheduled to visit Trinity College, the oldest Irish university, and Guinness brewery, and meet Prime Minister Bertie Ahern.