Mesic said Croatia was willing to share with Bosnia and Herzegovina its experience in European Union accession negotiations, Mesic's office said in a press release.
Mesic said the best way Croatia could help Croats living in other countries, including Bosnia and Herzegovina, was by insisting on their full equality.
In a separate meeting, Croatian Deputy Prime Minister Jadranka Kosor supported Bosnia on its road to EU accession.
She also supported constitutional amendments which would provide Bosnia's three constituent peoples (Croats, Muslims, Serbs) with equal rights, the government said in a statement.
Raguz said Croatia's progress towards the EU was crucial for Bosnia, as well as for the other countries in the region, because it created conditions for lasting peace and broader cooperation.
Raguz said he was pleased the Croatian and Bosnian governments this year ratified and put into force an agreement on cooperation regarding the rights of war victims who had been members of Bosnia's Croat Defence Council and their families.
Raguz recalled that 2.5 million of Bosnia's population left the country during last decade's war and that Croatia had helped the most in providing for them.
Kosor said she was unhappy with the slow return of the displaced and refugees to Bosnia's Serb entity, adding that this issue must be addressed seriously.
Raguz was also received by the chairman of the Croatian parliamentary committee on foreign affairs, Gordan Jandrokovic. They agreed the common goal should be a stable Southeast Europe and a future based on dialogue and peaceful settlement of all outstanding issues, parliament said in a statement.