For almost a century, Neandertals were considered the ancestors of modern humans. But in a new plot twist in the unfolding mystery of how Neandertals were related to modern humans, it now seems that members of our lineage were among the ancestors of Neandertals. Researchers sequenced ancient DNA from the mitochondria—tiny energy factories inside cells—from a Neandertal who lived about 100,000 years ago in southwest Germany. They found that this DNA, which is inherited only from the mother, resembled that of early modern humans.
After comparing the mitochondrial DNA (mtDNA) with that of other archaic and modern humans, the researchers reached a startling conclusion: A female member of the lineage that gave rise to Homo sapiens in Africa mated with a Neandertal male more than 220,000 years ago—much earlier than other known encounters between the two groups. Her children spread her genetic legacy through the Neandertal lineage, and in time her African mtDNA completely replaced the ancestral Neandertal mtDNA.Anne's article is based on a 4 July 2017 report in Nature Communications, Deeply divergent archaic mitochondrial genome provides lower time boundary for African gene flow into Neanderthals by Cosimo Posth, Christoph Wißing, Keiko Kitagawa, Luca Pagani, Laura van Holstein, Fernando Racimo, Kurt Wehrberger, Nicholas J. Conard, Claus Joachim Kind, Hervé Bocherens and Johannes Krause.
I suggest reading Anne's piece first and then the source article. This includes some very interesting material, including methodology and qualifications.