DMC Manga has nothing to do with the Anime folks.
DMC3 Manga covers some plot holes from DMC3 - DMC1 storyline. For example, when Vergil and Dante met "one year before DMC3" since supposedly Dante thought that Vergil had died according to DMC1.
In DMC Anime scans we see Dante wearing the DMC1 clothes. Which probably means it's around that period, probably just before DMC1 or just after DMC3~_^