I resigned my position three months later. I suspect that those employees who were allowed to fully grieve were more likely to return to work sooner and concentrate better than those who lacked support. Another excellent type of support that is almost always appropriate includes sending flowers, plants, cards, and personal notes of condolence. Flowers, plants, and notes are appropriate not only during the initial period of condolence, but also after. These are good ways to show concern without being intrusive.
Notes are more effective when they are more personal.
It is preferable to do something concrete for someone than just offering to help. For instance, food is often welcome. Perhaps an offer to take care of young children may be welcome. Sooner or later you will have a chance to have personal contact with the grieving employee. A few preferred to grieve more privately.