Hi Arizona girl,
Like the other posts from European residents already stated, there is no such thing as European Walking Shoes. There are a number of European brands that produce excellent walking footware (as do American or Australian brands).
So the question should not be: "from which country/region should I buy my footwear", but: "which brand suits my feet best?". If it's an American brand, that's OK. If it's not, that's OK.
My feet are very happy wearing Meindl. I've tried another (quality) brand once, but regretted it. And I was surprised by the excellent service they provided. I had already walked on Meindl's for a year or two when my wife and I walked from our home town in Holland to Santiago. So I had walked about 3500 km. on them, when the upper part of one shoe was starting to come loose from the soles (at the seams). So I went to the shop where I had bought them to have it repaired. Because they didn't have the proper equipment to do so, they sent them to Meindl. I asked them to call me about the cost before I would give the order to repair them. Two weeks later I got a call that my shoes had been repaired by Meindl and that I could pick them up. So I went to the store and explained my concern because I hadn't received any notice about the cost.
They told me that there weren't any costs. Meindl had examined the problem and thought that this problem shoud not have occured to their products after only 3500 km. So they had replaced the upper part of the shoe by a new part without charging anything.
So, there's no such thing as European Walking Shoes, but you might want to try the Dutch ones...