This is an open-label follow-up study or extension study for subjects who previously were randomized and have completed the VIPES study. Subjects will be offered enrollment in this study to receive an additional 24 months of Viaskin Peanut treatment followed by a period of 2 months without treatment and a peanut-free diet. The investigators will continue to gather information about the long-term safety of the Viaskin Peanut patch and how well it works.