Welcome Corrado and Rina! It might help if you shared where you are as climate might determine the need or benefit of storing them in cooler conditions.
Generally, rose seeds need some cold. I take the lazy approach and leave them outside It works, but I don’t use it for valuable crosses. You could get away with only warm stratification in these species, as they all seem tropical…
Warm stratification is just like normal stratification, just without cold. I never grew tropical species of rose seed before, I just know that it might work. I know there is a rose breeder in India, if you know them, ask them! They should know better than anyone else.