Most SSL/TLS-based electronic commerce (e-commerce) applications (including Internet banking) are vulnerable to man in the middle attacks. Such attacks arise since users are often unable to authenticate a server effectively, and because user authentication methods are typically decoupled from SSL/TLS session establishment. Cryptographically binding the two authentication procedures together, a process referred to here as SSL/TLS session-aware user authentication (TLS-SA), is a lightweight and effective countermeasure. In this paper we propose a means of implementing TLS-SA using a GAA bootstrapped key. The scheme employs a GAA-enabled user device with a display and an input capability (e.g. a 3G mobile phone) and a GAA-aware server. We describe a simple instantiation of the scheme which makes the password authentication mechanism SSL/TLS session-aware; in addition we describe two possible variants that give security-efficiency trade-offs. Analysis shows that the scheme is effective, secure and scalable. Moreover, the approach fits well to the multi-institution scenario.