Vente-Privee.com, the European online retailer that runs a U.S. site with American Express Co., said the proliferation of fashion outlets across America is challenging the company’s growth.

Vente-Privee, which plies discounted high-end fashion, wine and Iggy Pop albums to its 17 million European members, began operating in the U.S. a year ago and is finding it difficult competing with discounted brands at outlets as well as the immediacy in which Americans expect delivery.

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