A source tells UsMagazine.com the woman Tony Parker had been texting was Erin Barry, the wife of his NBA ex-teammate Brent Barry.
TMZ, Sports Illustrated, the New York Post and other outlets also identify her as the other woman.
She has yet to comment on the various reports.
The new Us Weekly reveals how Barry and Parker, 28, exchanged hundreds of personal texts that Longoria, 35, discovered.
The revelation drove her to file for divorce after three years of marriage. Barry is currently in the middle of divorcing her husband, TMZ reports.
Barry's father, NBA Hall of Famer Rick Barry, told the site: "I feel horrible for my son. I'm in shock. I knew [Erin] was moving out of the house soon and SHE was the one that filed for divorce. This is the straw that broke the camel's back.
"[Brent] is going to be devastated," he said. "I can't even imagine him going through this ... the divorce was hard enough news."