Europe does not get info on US slots, as far as I am aware.
Coming the other way, anything entering the EUR Region handled by the CFMU, which does not originate in the CFMU area, is dealt with in a different (and much more logical) manner. They are slot exempt (as out of area originiating traffic) and their 'slot' is allocated to them dynamically, with traffic coming from the CFMU region regulated as appropriate to work around the out of area aircraft.