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CNN says the women are members of the National Women's Veterans Association of America in San Diego. One of them, Eldonna Fernandez, told CNN that she met the then-congressman Filner at a National Women's Veterans Association of America "Healing and Hiring Fair."

"He looks at my card. He looks at me. He says, 'Fernandez. Are you married? Do you have a husband?' Very quick, very direct. I said, 'No, I'm divorced.' 'Well, you're beautiful, and I can't take my eyes off you, and I want to take you to dinner.' I was really shocked and I was like, 'Uh, OK,'" Fernandez told CNN.

Fernandez said after the event, Filner left her a flirty voicemail message. LISTEN:

"Hi, it's your newly favorite congressman, Bob Filner. You know, the one who fell in love with you at your last speech. I don't want to wait 'til you come back to have dinner with you," according to CNN.

She never responded to the message.

Fernandez was raped three times while serving in the Air Force and is now an advocate for sex assault victims. She said as sex harassment allegations against Filner came to light in recent weeks, she realized several other women had similar experiences during women's veteran events .

She and other women tell CNN that they feel Filner used his power as a former chairman of the House Veteran's Affairs Committee to take advantage of women, many of them military sex assault survivors who are vulnerable and less likely to speak up.

Another woman, Gerri Tindley, said Filner rubbed and touched her while they were both waiting in a green room to speak at the NWAA event.

The president of the group, Tara Jones, told CNN she has spoken with seven to eight women who said they had similar encounters with Filner at events.

"He went to dinners, asked women out to dinners, grabbed breasts, buttocks. The full gamut. Everything that is complete violation of what we stand for," Jones told CNN. "He's a sexual predator. And he used this organization for his own personal agenda."

Jones joins others in calling the mayor to resign.

"He preyed upon people who were vulnerable, who he knew nine times out of 10 would not speak up," she told CNN.

Fernandez and Tindley join 11 other women who have publicly claimed that they were subjected to unwanted sexual advances, kisses or groping by Filner. On Tuesday, a nurse who takes care of an injured Marine claimed she was sexually harassed Filner in his office.