I would reach out and tell them that you would like to do something for them in their time of need. Maybe there is a charity that they would like you to support in the name of the deceased? Or you could send them a parcel with some Swiss comfort foods? If they have a garden, maybe they would love a certain plant to go there?

My personal feeling is that flowers are beautiful but if I pop my clogs, I would like to have any money spent to help the living rather than decorate the resting place of the dead. If you do send flowers, make sure to have them include a vase, the person has probably already received more flowers than they have receptacles.