Can I add a secondary driver who only has a foreign license to my car
insurance policy? (NY)

I am about to purchase car insurance in New York state. My wife
doesn't have a NY license and she's not eligible for one given the
restrictive rules of DMV on visa status and length of stay
(http://www.nydmv.state.ny.us/idlicense.htm#note1). She does have a
foreign license since 1994, which allows her to drive in NY. She would
drive the car only occasionally. I talked to GEICO and Progressive and
she would not be allowed to drive under their policy.

Can you provide a list of insurance companies that allow for a
secondary driver with no NY license?

I know as a previous agent for Chubb Insurance - they can cover your
wife under the auto policy. They will need a "no loss" letter from
your/her previous auto company/dmv from what country she was from.
This will state no accidents or violations for the years she was loss
free. This lets Chubb Insurance know that she was no a reckless driver
in her former country. hope that helps.