Rimes wrote on her official website: 

"This is a difficult time for me and my loved ones, but I appreciate all your continued support," she writes. "I would like to assure all of you that this is a place for you to hear things directly from me and as you all know, not everything in our lives is always black and white."

Eddie Cibrian to Access Hollywood:

“Other than being friends and two actors who were romantically intertwined in a movie-for-television we filmed last fall, there is no truth to the reporting initiated by US Magazine,” Eddie said in a statement to Access Hollywood on Wednesday. “It is a fabricated story that is using random snapshots as connective tissue to create a scandalous relationship.”