Washington ? Presidential rivals Barack Obama and Hillary Rodham Clinton can agree: They sometimes disagree with trash-talking supporters and will try to cool it.

Advisers to the Democratic candidates shed some light Friday on the private chat the two candidates had Thursday on the Senate floor. The talk lasted three or four minutes in full view of reporters watching on the balcony above who could see them talking, but not hear what they said.

“They approached one another and spoke about how supporters for both campaigns have said things they reject,” said Clinton spokesman Phil Singer. “They agreed that the contrasts between their respective records, qualifications and issues should be what drives this campaign, and nothing else.”

An Obama adviser, speaking on a condition of anonymity about the private conversation, gave a similar account, while stressing that it was Obama who approached Clinton on the subject. They committed to making sure that their supporters don’t get overheated in the future, the adviser said.

With Clinton and Obama in such a close race for the nomination, the campaign has grown increasingly acrimonious. Surrogates and aides to the candidates have stirred racial and gender divisions that Democrats fear will leave the eventual nominee badly damaged and battered heading into the general election.

Party members also fear that the rancor will make it difficult to unite the party for the November contest, undercutting Democrats’ chances of winning the White House after eight years of President Bush.