The two are expected to meet soon to discuss the looming election campaign and Clinton's role.
NO MEETING SCHEDULED
They talked early on Wednesday, and Obama spokesman Robert Gibbs said Obama told her he would like to "sit down when it makes sense for you." But no meeting was scheduled.
Both Obama and Clinton will address a pro-Israeli lobbying group on Wednesday morning in Washington as Obama begins to focus on the November election. McCain wrapped up the Republican nomination in March.
"This has been a long campaign and I will make no decisions tonight," Clinton said. "In the coming days I'll be consulting with supporters and party leaders to determine how to move forward with the best interests of our party and my country guiding my way."
Obama lavished praise on Clinton after beating her.
"Senator Hillary Clinton has made history in this campaign not just because she's a woman who has done what no woman has done before, but because she's a leader who inspires millions of Americans," he said.
"Our party and our country are better off because of her, and I am a better candidate for having had the honour to compete with Hillary Rodham Clinton," he said.
McCain kicked off his race against Obama with a rally in Louisiana where he sought to distance himself from Bush and questioned Obama's judgment. He called Obama a "formidable" opponent but one who had not shown a willingness to put aside partisan interests.
"He is an impressive man, who makes a great first impression," McCain, 71, a former Vietnam prisoner of war, said of Obama. "But he hasn't been willing to make the tough calls, to challenge his party, to risk criticism from his supporters to bring real change to Washington. I have."
Obama questioned the extent of McCain's independence and tried to link him to Bush.
"While John McCain can legitimately tout moments of independence from his party in the past, such independence has not been the hallmark of his presidential campaign," he said.
"There are many words to describe John McCain's attempt to pass off his embrace of George Bush's policies as bipartisan and new. But change is not one of them."
Obama, 46, is serving his first term in the U.S. Senate from Illinois and would be the fifth-youngest president in history. He was an Illinois state senator when he burst on the national scene with a well received keynote speech at the 2004 Democratic convention.
His gruelling battle with Clinton split the party, with blacks, young people and more educated and higher-income voters backing Obama, while Hispanics, older voters and white working-class voters backed Clinton.
