José Neves has a certain way of shopping, one that may make him very rich.

“When I go to New York, I don’t go to the department store,” he said during a recent interview from London, where he is based. “I go to the meatpacking district or in SoHo. I go into that tiny little boutique, that hole in the wall, where I discovered a selection that I can’t find anywhere else. But how do you do this at scale?”

Mr. Neves, a 39-year-old Portuguese entrepreneur, has figured out an answer with his website, Farfetch.com, which provides an Open Table-like platform that connects shoppers to 300 boutiques from all over the world.

He has turned his six-year-old site into a big business, and, apparently, a very appealing investment. Farfetch has raised $66 million in its latest investment round, on top of the $42.5 million it had already raised over the previous three years. The start-up had more than $160 million in sales last year and is quickly becoming one of the more intriguing players in the online shopping world.

The most recent round of funding is led by a private equity investor, Vitruvian Partners. Private equity money has been flowing in the fashion world recently. Last week, Berkshire Partners became an investor in Opening Ceremony, and earlier this year, Blackstone took a stake in Versace.