Oh I see - SeeksAdvice meant instability. My Visconti bottles are the top-heavy style, but they came in a solid, rigid, faceted/shaped clear plastic container with fitted top. I invert the clear plastic container and reinsert the bottle. The faceted/sided case holds the bottle so it doesn't move and this provides a very steady base. Alternatively the fitted plastic top has a recess for the bottle and can be inverted and used as a stand too.
Errrr not sure if I've explained that properly! Here's a pic that shows the plastic case and top.
I keep my glass Visconti bottle in the bottom half of its box when refilling.
I used a small amount of blue-tack on the base of my plastic Visconti bottle to attach it to the base.
The only other bottles I have a problem with are my Noodler's bottles, and there I use four small tabs of blue-tack to temporarily attach them to the desk.