Transcript for Giuliani opens flood gates to new questions about Trump

Thanks for joining us on this Sunday. I'm Tom llamas. We begin with president trump's attorney, Rudy Giuliani, opening the floodgates to new questions about the president, the Russia information, and the stormy Daniels case. In an ABC news exclusive, Giuliani asked to untangle the timeline about the payment to the adult film star. And also raising the possibility of more payoffs to other women. The former New York mayor, making headlines, saying he wouldn't rule out the president taking the fifth if he testifies before Robert Mueller. Here's Tara Palmeri. Reporter: Tonight, one of the president's top lawyers, Rudy Giuliani, trying to do damage control. Facing growing questions about when president trump knew about the $130,000 hush payment to stormy Daniels. When did the president first learn that stormy Daniels wanted money to keep quiet about the relationship? Don't know and doesn't matter to me. Reporter: Giuliani igniting the firestorm days ago with a media blitz when he revealed the president repaid Michael Cohen. Funneled through a law firm, and the president repaid it. Oh, I didn't know that he did. Everybody was nervous about this from the beginning, I wasn't. Cohen didn't even ask. Cohen made it go away. He did his job. Reporter: In today's appearance on "This week" with George, Giuliani repeatedly short on facts. So, did the president know about this after the campaign? Can't say that. I mean, at some point, yes. But it could have been recently, it could have been a while back. Those are the facts that we're still working on but I -- right now, I'm at the point where I'm learning, and I can only -- I can't prove that. I can just say it's rumored. Why did the president deny any knowledge of the payments when in fact, he had made the payments? Well I don't know -- I don't know when the president learned about it. He could have learned about it after. Reporter: At one point downplaying the importance of the president's truthfulness on the matter. It's okay to lie to the press? Gee, I don't know, you -- you know a few presidents who did that. I don't think that this president has done that. But, in any event, that's not the crime. Reporter: Then Giuliani making a stunning statement, that there may be more payments to other women. Did Michael Cohen make payments to other women for the president? I have no knowledge of that but I would think if it was necessary, yes. Reporter: Attorney for stormy Daniels, Michael avenatti firing back. The president had effect an extramarital affair slush fund that was administered by Michael Cohen. And he would just be expected to take care of these things. Reporter: Now white house officials trying to explain this denial by the president last month that he knew of Cohen's payment to Daniels. Did you know about the $130,000 payment to stormy Daniels? No, no. It was a very fast-moving exchange. He's saying he didn't know about when the payment occurred, he found out about it after the fact. Reporter: Stormy herself, taking a shot at the president. Making a surprise appearance on "Snl," issuing a warning. I know you don't believe in global warming, but a storm is coming. Reporter: Giuliani claims that the payments were a personal matter to protect the president's family, and not against the law. Tom? Tara, stay with us there. There was also major news about the Mueller investigation. Gorge asking Giuliani about how they will respond in the event there's a subpoena. Will you comply? He doesn't have to. He's the president of the united States, we can assert the same thing that other presidents have. Giuliani suggesting president trump may assert his fifth amendment Reporter: That's right. Giuliani said the president may invoke his right against self-incrimination. Giuliani said the president still wants to testify. But from the way the special counsel's office has been acting, it's convincing him he shouldn't let the president do

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