Are there consistent models giving observable NSI ?

While the existing direct bounds on neutrino NSI are rather weak, order 10(−)(1) for propagation and 10(−)(2) for production and detection, the close connection between these interactions and new NSI affecting the better-constrained charged letpon sector through gauge invariance make these bounds hard to saturate in realistic models. Indeed, Standard Model extensions leading to neutrino NSI typically imply constraints at the 10(−)(3) level. The question of whether consistent models leading to observable neutrino NSI naturally arises and was discussed in a dedicated session at NUFACT 11. Here we summarize that discussion.