When someone makes you feel comfortable and at home, that person is being hospitable, providing a warm, friendly environment. Anything hospitable is welcoming and open.
A Greek proverb suggested that in being hospitable, the main feeling should be good will. The basis for the word hospitable is the Latin hospes, which refers to welcoming a guest, a word that evolved into meaning "to entertain." Consider that being hospitable means, as someone once said, “making your guests feel at home, even though you wish they were.” In other words, entertaining them. (You can also “entertain” new ideas with an open, hospitable mind.)