Considering that there isn't a move tutor in X&Y for Heal Bell and Pokebank is down, is it possible that Eevee can be bred Heal Bell, e.g. by a Smeargle?
Eevee learns Heal Bell only by Move Tutor. If a Pokémon learns a move exclusively via Move Tutor the move cannot be bred.
Hope I helped :)
Bulbapedia doesn't have it as one of the moves that can be passed on via breeding and Serebii puts it's method as move tutor in B2W2