AFIK this command is not exposed in the .net API. I would approach it by creating the Volume Surface with TinVolumeSurface.Create (...) and than analyzing this surface. First check the Surface.GetGeneralProperties (...) for the MinimumElevation. If the MinimumElevation is greater or equal zero, than MinimumCoordinateX and MinimumCoordinateY gives you the point. If MinimumElevation is negative, than the surfaces crossing each other and you can create with SurfaceAnalysis.SetUserDefinedContourData (...) with elevation 0 the crossing lines and read them with SurfaceAnalysis.GetUserDefinedContourData.
Does ExtractContoursAt(0) work at a TinVolumeSurface? AFIK the method is only on TinSurface available.