I have used
www.sevencorners.com for Schengen-compatible medical insurance for years now (myself, family, friends and colleagues) and have never had an issue with consulates anywhere (except the Italian Embassy in Ghana which had a bit of a racket going that you had to buy your insurance via some relative of one of the consuls otherwise they would refuse the visa).
The Liaison Majestic policy that I usually get from Seven Corners offers online fulfillment and includes the wording below :
This policy includes coverage for hospitalization, repatriation, and medical expenses. The plan provides coverage Worldwide coverage (including all Schengen Countries) outside of the insured's home country.
Cost is lower than $1/day with the right combination of age, deductibles and maximums.