mesh interconnection

Hello all...

I have been trying to connect meshed surfaces to create one mesh. The problem is, if there are several independent surfaces, they each mesh in a different way, and because of that it is impossible to weld their vertices.
Have been trying to do it with grasshopper weldVertices, but it didnt work out, many holes in between the welding area.
If there would be some way to match the vetices at the interconnection edges of the meshes I wish to connect, I think it might solve the problem...(Maybe add or control the vertices directly in the Rhino-grasshopper mesh convertor?)

In the posted file, there is an example of a geometry I want to interconnect.