James links to a BBC article about conversation-after-lunch in Spain, and I too believe that achieving the Legendary Enchainment would be marvelous.
However, it is not easy to accomplish, with any meal. I greatly desire to sit long and converse after eating, yet it seldom happens. I might almost say that it never has happened. My wife eats extremely quickly, with entire focus and little chewing. The only other thing I have seen her focus on with that intensity is reading. People with children seldom have the flexibility to engage in long after-meals. Even if some children are older and able to entertain themselves, there is nearly always a special circumstance - little sleep the night before, a soccer practice, a school project due.
Large family get-togethers might accomplish some of this, though people seldom remain at a single table long.
American restaurants do not encourage such things, certainly. We might wish they did, but they also have to make a living in a competitive market. Is this what older people going to Early Bird Specials experience? Perhaps I will embrace rather than reject it after all. Except I suspect that there will be too many boring people to make it all that interesting.