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And twice, according to her office, she hung up on him.

She "thought it was a hoax," an aide to the congresswoman said.

In a series of phone-slammings that appear to have taken up much of the afternoon, Ros-Lehtinen first received a call on her cellphone, from a Chicago phone number, and was informed by the caller that Obama wished to speak with her. When a man sounding like Obama got on the line, Ros-Lehtinen cut him off, saying, "I'm sorry, but I think this is a joke from one of the South Florida radio stations known for these pranks." She then hung up, according to a statement issued by her office.

A little while later, chief of staff-designate Rahm Emanuel called the congresswoman back.

"Ileana, I cannot believe that you hung up on the president-elect," Emanuel said, according to the congresswoman's office.

Her response?

"Ros-Lehtinen told Rahm that she didn't believe the call was legitimate and hung up on Emanuel," her statement said.

Rep. Howard Berman, chairman of the House Foreign Affairs Committee and someone Ros-Lehtinen knows well, sought to intervene, calling and telling her he "needed to speak with her urgently." She got on the line -- but demanded that Berman recount a story "only both of them would know," which the congressman did.

He then told her "that she had, indeed, hung up on the president-elect," according to her office statement.

Finally, when Obama called a third time, she took the call.

"He told her, 'It is very funny that you have twice hung up on me,' " and she explained her problems with local radio stations, her statement said. "Obama told her that in Chicago they also have prank calls. Ileana told Obama that 'you are either very gracious to reach out in such a bipartisan manner or had run out of folks to call if you are truly calling me and "Saturday Night Live" could use a good Obama impersonator like you.' "

She went on to congratulate him for his victory and urged him to work with allies on Cuba and Israel, two of her top issues.