Reports from unnamed diplomats close to the private discussions said the atmosphere was "frank" and "constructive," but the two sides remain apart on key issues.
Ahead of the meeting, Serbian officials had been calling for a wide degree of autonomy for the province and its ethnic-Albanian majority if Kosovo remains a part of Serbia and Montenegro.
Leaders of Kosovo's ethnic Albanians, on the other hand, are urging full independence from Belgrade.
The UN has administered Kosovo since NATO air strikes in 1999 stopped Serbs from cracking down on independence-minded ethnic Albanians. Kosovo's status has since remained unresolved.
(dpa, AP)