Vikram,
I think I tried that one as well before posting here, but I just tried it again and it also relies on a spatial relationship between the lines to be pulled onto the surface and the surface itself. I’m really just trying to draw a design on a flat surface (which I know to be a ruled surface like a curved, vertical wall) off to the side somewhere and map that onto the original curved surface. I think what Dimitar proposed is what I’m looking for, but thank you for the suggestion.