The National Security Council meets every week after the European Union delayed membership talks with Croatia over its failure to track down fugitive general Ante Gotovina and transfer him to The Hague.
Mesic said that the competent authorities were stepping up their efforts to close all the outstanding issues.
"Croatia is being criticised for failing to fully cooperate with the Hague tribunal, although we have taken a lot of steps of which the tribunal has not been fully informed," the president said.
"We have now expedited the proceedings in order to assure the Hague tribunal that all people are equal before the law in Croatia. Once we have convinced the Hague tribunal and our European friends that the law in Croatia is not being applied selectively, they will believe us that we are also doing all in our power in the case of General Gotovina," he added.
Recalling the case of Ivica Rajic, who had managed to hide for years before being caught and handed over to The Hague in June 2003, Mesic said: "A whole network is at work here and this network is now being dealt with."
Asked if the tension between him and Prime Minister Ivo Sanader had subsided at last night's session of the National Security Council, Mesic said that there was no tension between them and that their cooperation was quite good.
In response to the question about media reports on demands by Homeland War veterans to be awarded war hero status, the president said that their proposal was legitimate, but that it was not up to him to say how many people would be awarded such status.
"The Croatian public will say if that is necessary. Who will measure somebody's heroism in retrospect or say there were 10,000 of them, when all those who left their job or their studies and went to defend their country were heroes," he added.
Asked to comment on plans by some retired army officers to organise the 10th anniversary of Operation Storm on their own, Mesic said that it was their legitimate right, but that he thought that there was no need to do it outside state institutions. "They did not fight against the institutions of this State, but for them," he said.
"We should mark the 10th anniversary in a special way so that Croatian citizens can feel what had to be sacrificed so that now we can negotiate in peace with the European Union," Mesic said.
Mesic also received a delegation of the Slovene-Croatian Friendship Society.