Please don't use ashalt, you can't roll it inside a house, you can't get it flat as you require. I can't see the problem, if your main floor is floorboards, you just make your new floor as close as possible, then run over the joint with a coarse sanding disc to taper any 1mm step across 12" or so. Your foam will compress by .5mm or so over the next 5 years. If you are thinking about a 3mm step, then its a lot of sanding. Its a difficult thickness, too thin for hardboard, too thick for a layer of lino/plastic flooring. Don't be tempted by the thicker foam filled flooring, its will be soft and compress. Wood veneer would be good but ultra expensive.
Frank