Kim Kardashian's name has turned up in Halle Berry's nasty custody battle with Gabriel Aubry.

More after the jump.

People magazine reports that Halle was "very upset" by Kim's fling with the father of her two-year-old

daughter. A source says Halle "was upset at the idea of someone like that being in her daughter's life," and that she was concerned baby Nahla would be "exposed to the cameras that are undoubtedly around a reality star."