Tadic is due to meet Vujanovic as well as Montenegrin Prime Minister Milo Djukanovic.
The president of Serbia has already recognised the results of the 21 May referendum of Montenegro that voted for its independence from the state union with Serbia.
Serbia's Prime Minister Vojislav Kostunica has said that his cabinet will present its position upon the announcement of the final official results of the voting.
According to preliminary officials results, over 55 percent of Montenegrins who went to the polls voted for sovereignty.