Speaking on the national RTS TV channel, Boris Tadic mentioned the idea of splitting the province along ethnic lines, an option previously suggested only by political commentators.
"I am ready to consider this option if we exhaust all others, which however are enough for finding a solution to fix the status of autonomy for the region," he said.
Kosovo unilaterally declared its independence in February and has been recognized by 47 of the 192 UN member states.
Tadic said, however, that currently the division of Kosovo is not on the agenda, and that Serbia is ready to continue its diplomatic struggle to preserve national territorial integrity.
He said a favorable outcome was only attainable through "sober politics."
Kosovo authorities have no control over about 15 percent of the region, populated by some 200,000 Serbs, who have vehemently opposed UN or EU administration rule.
Serbia submitted a draft resolution to the United Nations earlier in September asking the UN International Court of Justice to assess the legality of Kosovo's unilateral declaration of independence.
Speaking at a UN General Assembly session on September 23, Tadic said: "To vote against such a resolution would mean to reject the right of any country - now and in the future - to seek legal solutions within the framework of the UN. Such an approach could lead to the end of the UN system as we know it today."
The status of Kosovo has been a focus of international disagreement since NATO's bombings of the former Yugoslavia in 1999 ended a bloody conflict between Kosovo Albanians and Serb forces. Russia, Serbia's long-time ally, has been an outspoken supporter of Belgrade's position on Kosovo.
