First, the sentence you cite as an example does not contain any attributive phrase, as English grammar books in high school used the term "attributive phrase". Rather, an attributive phrase is a phrase that points to a quoted source. For example, consider the sentence: "Hello Bob!", said Alice
. The part "said Alice
" is called an attributive phrase, because it attributes the quote Hello Bob
to its source---Alice. That's nothing like the sentence you quote.
Rather than an attributive phrase, what you have in your example is a list of adjectives modifying a noun, which leads me to my second point: In a list of adjectives modifying a noun, the order of the adjectives is arbitrary. Although some orderings may sound better than others, and some may draw the right image in the readers' minds more readily than others, any ordering works as far as the rules of English grammar are concerned. Just be careful when one of the adjectives forms a fixed term with the noun, as in French Toast
In your example, I would keep together the "French vase
". Although it isn't a fixed term, it comes close enough to one that I would instinctively hesitate to split it up. But other than that, I would feel free to scramble the order as I wished.