The idea of a digestivo is more an Italian concept than something we Americans practice. But maybe we should. The sipping of an amaro (bitter) or vermouth, which are basically fortified wines infused with myriad botanicals and herbs, really does soothe the stomach after a rich meal.
In Italy, the digestivo of choice is an amaro -- the country makes dozens in different styles. You may be familiar with the rough bitterness of mentholated Fernet Branca; fortunately, there are much more alluring and nuanced examples.
Here are a few to search for at your local retailer:
Made in Bologna since the 1860s, Amaro Montenegro...