My dad died recently and I was upset that at the crematorium, some people didn't come up and express their sympathy. OTOH, I didn't want to be cornered or monopolised - the most compassionate people just said a quick few words, and then faded away, which I really appreciated.
My aunt's funeral is next week, and she has a vast extended family. I'm thinking that I should approach and say a few words to my cousins (my aunt's own grown-up children), but not approach any of their many children or grandchildren, unless of course we find ourselves next to them or whatever. But not to push ourselves forward in any way.
Does that sound right to you? There's a fair amount of dysfunction in the family, so it would be easy to make a mistake.