I’ve been told that after the first few weeks, after the numbness and shock wears off (a tiny bit), that the sympathy cards stop coming, the phone calls die down, and the widow/er is alone.
Ministry should be ongoing for at least a year with weekly or monthly check-ins.
There is also a vacuum in household duties / chores that should be done. A person working in bereavement ministry should be able to liase with the parish community to call upon another member to come by and clean gutters, bring a casserole, replace the belt in the vacuum cleaner, or just come by to pray the rosary.
It’s the “practical things” that widow/ers need. The comfort from talking may come when the care receiver is comfortable.
Remember, too, grief is different for each person. Some folks may want to be left alone. The ministry personnel probably won’t feel like he or she has the “right words” and may say something pat. But really, the best way to involve oneself in working through another’s grief is to just help out with walking the dog, taking out the trash, or sorting the mail. There is no need for a ministry worker to be a social worker.