Online social networking and corresponding mobile based applications are gaining popularity and now considered a well-integrated service within mobile devices. Basic security mechanisms normally based on passwords for the authentication of social-network users are widely deployed and poses a threat for the user security. In particular, for dedicated social groups with high confidentiality and privacy demands, stronger and user friendly principles for the authentication and identification of group members are needed. On the other hand, most of the mobile units already provide strong authentication procedures through the USIM/ISIM module. This paper explores how to build an architectural framework for secure enrolment and identification of group members in dedicated closed social groups using the USIM/SIM authentication and in particular, the 3GPP Generic Authentication Architecture (GAA), which is built upon the USIM/SIM capabilities. One part of the research is to identify the marketable use-cases with corresponding security challenges to fulfil the requirements that extend beyond the online connectivity. This paper proposes a secure identification design to satisfy the security dimensions for both online and offline peers. We have also implemented an initial proof of the concept prototype to simulate the secure identification procedure based on the proposed design. Our implementation has demonstrated the flexibility of the solution to be applied independently for applications requiring secure identification.