The EU has made repeated demands for Mladic to be brought to justice and made it a condition before Serbia can expect closer links with the bloc.
Kostunica's comments come after days of media speculation – denied by the authorities -- that Mladic has been located or even captured.
The former Bosnian Serb commander is charged with war crimes dating from the Bosnian war of the 1990s, including the Srebrenica massacre.
Ratko Mladic (left) confers with Radovan Karadzic during a meeting in Pale in 1993 (epa)
READTen years have passed since former Bosnian Serb leader RADOVAN KARADZIC and his former military commander General RATKO MLADIC were indicted by the Hague-based war crimes tribunal for genocide and other war crimes. The two fugitives remain at large, despite the obligation of NATO-led peacekeepers and the various governments in the region to arrest the indictees and send them to The Hague. Many people wonder why the most powerful military alliance in history and a host of governments seeking Euro-Atlantic integration remain unable to catch the two... (more)
LISTENTo listen to wartime audio of Ratko Mladic, click here.
Coffins of Srebrenica victims being prepared for burial in October (AFP)
SREBRENICA: The July 1995 massacre of some 7,000 Muslim men and boys by Bosnian Serb fighters near the UN-designated safe haven of Srebrenica is the worst atrocity of its kind in Europe since the end of World War II. Since the incident, the name Srebrenica has become practically synonomous with ethnic cleansing....(more)