Verbeke arrived with a UN fact-finding mission to gather information on the positions of Belgrade and Pristina and on the situation in Kosovo.
Expressing his satisfaction with the results of separate talks with Serbian president Boris Tadic and prime minister Vojislav Kostunica, the Belgian ambassador said that the Serbian position was far from a threat of violence in dealing with the Kosovo status issue.
The offices of the Serbian president and the prime minister said in statements that Serbia was against Kosovo gaining independence, calling for a continuation of talks on the province's status.
Kostunica said that Serbia's proposal to give Kosovo "substantial autonomy with international guarantees" had not been given enough attention during negotiations.
The Serbian authorities presented the UN delegation with a document elaborating Belgrade's position on the issue. The document proposes "supervised autonomy" for Kosovo, instead of supervised independence as proposed by UN chief mediator Marrti Ahtisaari.
The UN fact-finding mission left Belgrade for Pristina to meet for talks on Friday with representatives of the Kosovo government, the UN administration and the Serb community in the province.
Before their arrival in Kosovo, several thousand displaced Serbs gathered in the village of Jarinje on the Kosovo-Serbia border to draw attention to their status. According to Belgrade media, displaced Serbs insisted that not even the minimum conditions had been met for their return to their homes in Kosovo.
The UN fact-finding mission was due in Vienna on Saturday for talks with Ahtisaari.