The only way how you can reliably work with .vsd and .vdw files would be to use the original Microsoft Visio tool from which both of these file types originate. Conversion of .vsd (diagrams) to .vdw (web drawings) files seems to be doable though, although you won't find any converter designed specially for vsd to vdw conversion so using Visio is your only choice.
Updated: December 12, 2022