When the metal mounts for the atomiser were removed then we assume that the bottle must have been damaged. Note the concave flat rim. This had been cut and polished.
There is also no lip, we would expect this to be wider at the mouth and the mouth not to be the narrowest point on the vase. That said this is still an attractive piece, but the restoration has been reflected in the price.
I have been involved in the antiques business since 1971. My career took a leap forward when I joined Bonhams in 1976. Some five years later I became head of the Decorative Arts department. The item "A Galle Cameo Glass Bottle Vase c1910" is in sale since Wednesday, November 11, 2020. This item is in the category "Pottery, Porcelain & Glass\Glass\Art Glass\French\Emile Galle".
The seller is "eric-knowles-the-hoard" and is located in High Wycombe. This item can be shipped worldwide.