I didn't realize you were looking for vinyl to match an odd PMS color. Doubt you're going to find that. I have heard some manufacturers will custom make a vinyl color but I'd think unless you need an awful lot of it it wouldn't be worth it.
Get samples from every vinyl manufacturers you can find and show these to the customer. Let him know that sometimes the PMS color you want to use simply doesn't exist in vinyl and see if a close match is good enough. To be honest, I had a customers ask for a PMS color for a small job and I took the risk of useing a vinyl that looked pretty close to it by my eye without even asking him. He was happy and has since become a repeat customer. I correctly judged from the beginning that he didn't know the difference between a Pantone PMS and his wife's PMS. He just found a color he liked.
Sometimes they see a PMS swatch and love that color but wouldn't know the difference seeing it in the pantone book, on a computer screen, a close print match or a close vinyl color. All of which will be different. Others will use a spectrometer and damn you until you get it right.
If you have to hit it without fail, perhaps this is a job better suited to the printing process. If you can't print match a PMS color to the customer's satisfaction you can outsource the print job to someone who can. Even then, no PMS color is going to be perfectly matched by a cmyk printer unless it's screen or offset printing using a specific can of spot color ink.
I'm not at work today or I could look in our Pantone Color Bridge Guide and see how close it can be done for that particular color. Sometimes it's way off. Sometimes dang near perfect. Sometimes, using cmyk, a different PMS color needs identified to more closely get the look of the original choice.
It's a crazy, mixed-up world of color and a crazy, mixed-up world of customers. When those two crash into one another one of them has to give and I guarantee it won't be the Pantone color.
Good luck. Like I mentioned above, first find out how particular the customer is. They may say they need to have a perfect PMS match but many of them wouldn't know it if they chipped their tooth on it. An quick explanation of how difficult it is to get the perfect match in our industry, the hoops that have to be jumped through to get it and the expense involved and you'll most often find that "close is good enough".