This preposes that there were a spontaneous creation of some population of Homo Sapiens.
Unless I’m mistaken (and I often am), isn’t Neanderthal actually older than Homo Sapiens? Thus, the logical assumption I’m going from is that a mutation of a Neanderthal mating resulted in Homo Sapiens, and this mutation was adept at surviving until sexual maturity, where it’s progeny created more Homo Sapiens.
And as these Homo Sapiens reproduced, at some stage the obvious differences between Homo Sapiens and Neanderthal, this would lead to a separation of the species. Homo Sapiens being more frail, but smarter would eventually replace the more rugged but less intelligent Neanderthal.
One species doesn't die out simply because a new species arises from an isolated European population. That species can also give rise to other species that spread out over the Earth, and could perhaps produce fertile crossbreeds with that other older species.
Follow?