Nothing we own is really ours to begin with—G‑d gives to us so we can give to others. Giving is a mitzvah and a responsibility. As such, it comes with its own set of dos and don'ts.
No frowns, no tears, no gloomy faces. None of that is going to heal anybody. When visiting the sick, your job is to provide a little smile, some hope and maybe even a few laughs.
Consoling a mourner is one of those challenging situations that we would all rather avoid. But it's an act of kindness and it's not really so difficult: What's really needed most is the fact that you are there.