Two police reports, first obtained by the Hour of Norwalk, indicate that Brickell slapped Simon at their New Canaan, Connecticut, home on Saturday. She told officers he had done something to "break her heart."
The reports indicate Simon suffered a superficial cut to his ear, and Brickell, who smelled of alcohol, had a bruise on her wrist.
Both said in court Monday they didn't consider the other a threat, and no protective order was issued. They are due back in court on May 16.
A song by the pair "Like To Get To Know You" was posted Wednesday on Brickell's website.
