In a large pot with plenty of salted water, boil the potatoes until they are tender when a fork is inserted, about 10-12 minutes. Drain and let the potatoes cool until you can handle them.
With a melon baller, remove a scoop from each potato. Cut a tiny sliver off the bottom of the potatoes so they will stand after filling. Combine the Boursin, butter, and cream. Taste and add salt and pepper as needed. Spoon or pipe the cheese mixture into the potatoes. Garnish with fine sprinkling of parsley. Add a tiny dollop of red caviar. Stand the potatoes on a platter to serve.