The Terminator action man, who separated from Shriver earlier this year (11), came clean about his infidelity last week (ends20May11), confessing he'd fathered a son with housekeeper Mildred Baena over a decade ago.
Seymour hit headlines days later after appearing to suggest she knew of other kids Schwarzenegger had had out of wedlock during an interview with CNN to promote her new film, Love, Wedding, Marriage.
She was quoted as saying, "He was obviously jumping the gun before everyone else told the world the news. And from what I gather there will be lots of information coming people's way. I heard about two more children. I met someone who knows him well."
But the Doctor Quinn, Medicine Woman star has now backtracked over the sensational statements, insisting she knows nothing about Schwarzenegger and Shriver's private life except for what has been alleged in the press.
Seymour admits she is "appalled" and "beyond" embarrassed for allowing herself to get carried away by mere tabloid speculation and has offered her sincere apologies to heartbroken Shriver.
Speaking on U.S. talk show The View on Friday (27May11), she says, "I am so beyond sorry and appalled that I found myself even talking on the subject at all. You have to understand it was at the premiere of my movie, which has a very similar theme, which is why they asked me...
"I do not know anything about any love children, anything that I said was stupidly listening to some stuff in the media that day, everyone was talking, I didn't even know where I heard it, and I don't know anything about anything.
"Unfortunately, the way it all got put together is beyond embarrassing and I just feel so so badly for Maria and the children... so I just hope that they will accept my apology and I don't want in any way to exacerbate the pain that that family is going through."