The leaders of Britain's Conservative and Liberal Democrat parties met Tuesday, a Liberal Democrat spokesman told CNN, raising the fresh possibility of a breakthrough on who will lead Parliament after last week's inconclusive parliamentary elections.
David Cameron's Conservative party won the largest number of seats, but not enough to let them govern on their own.
Prime Minister Gordon Brown's Labour Party came in second, and the Liberal Democrats third.
Nick Clegg's Liberal Democrats first started talks with the Conservatives, then began meetings with Labour.
Brown dramatically announced Monday afternoon he would step down by the fall, potentially clearing the way for a Labour-Liberal Democrat alliance.
But talks between the two ended just after lunch Tuesday, with no word on the outcome or when the talks might resume.