Pigalle is our favorite go-to place for breakfast and after Broadway. It is not run by Hilton, but accepts room charge since there is a convenient entrance from hotel lobby. Breakfast buffet was very nice, but they also do a fabulous lox and New York bagel with cream cheese, red onion, tomato, and capers that you will not want to miss. After Broadway we enjoyed drinks and a cheese plate and some warm bread pudding. They offered 15 different absinthe drinks and served those with the European setup. Don't see that too often. Very French!
The wait staff was friendly and did a good job of looking after us.