While not addressing the multiregional versus single origin debate, I would point out that subsequent to Krings et al work on the neandertal type specimen, a few more neandertal sequences have been obtained that confirm the results of the initial find
Krings M, Capelli C, Tschentscher F, Geisert H, Meyer S, von Haeseler A, Grossschmidt K, Possnert G, Paunovic M, Paabo S. A view of Neandertal genetic diversity.
Nat Genet. 2000 Oct;26(2):144-6.
Ovchinnikov IV, Gotherstrom A, Romanova GP, Kharitonov VM, Liden K, Goodwin W.
Molecular analysis of Neanderthal DNA from the northern Caucasus.
Nature. 2000 Mar 30;404(6777):490-3.