You could create 1 main container in the displaylist (not the stage) and listen for ROLL_OVER and ROLL_OUT, and set somekind of global flag there, that your mouse is over the display-list container. Then in your starling events, check for this flag. This isn't the nicest solution out there i guess, but it should work
var isOverDisplayList:Boolean = false;
container.addEventListener(MouseEvent.ROLL_OVER, onRollOver);
container.addEventListener(MouseEvent.ROLL_OUT, onRollOut);
function onRollOver(e:MouseEvent) {
isOverDisplayList = true;
}
function onRollOut(e:MouseEvent) {
isOverDisplayList = false;
}