A vacuum insulating glass (IG) unit and method of making the same. A dual edge seal including at least two separate portions is provided. The inner seal portion is flexible and hermetically seals off the low pressure area between the substrates. The outer seal portion may be less flexible, and protects the inner seal portion and provides for a bonding of the two substrates to one another. The outer seal portion may be formed by reaction injection molding (RIM), extrusion, or any other suitable method in different embodiments.