Originally Posted by emsr2d2
I agree in part, but be careful with offering "prayers" to someone. If they are not religious, this has the potential to upset them. I would stick with "My thoughts are with you and your family".
I would not automatically assume that any non-believer would take offense at the prayers of a well-wisher. Finding it amusing or ineffectual or superstitious, yes.
Of course, this may vary by culture.