We consider a problem of automated orchestration of security-aware services under additional constraints. The problem of finding a mediator to compose secured services has been reduced in previous works to the problem of solving deducibility constraints similar to those employed for cryptographic protocol analysis. We extend in this paper the mediator synthesis procedure (i.e. a solution for the orchestration problem) by allowing additional non-disclosure policies that express the fact that some data is not accessible to the mediator at a given point of its execution. We present a decision procedure that answers the question whether a mediator satisfying these policies can be effectively synthesized. The approach presented in this work extends the constraint solving procedure for cryptographic protocol analysis in a significant way as to be able to handle negation of deducibility constraints. It applies to all subterm convergent theories and therefore covers several interesting theories in formal security analysis including encryption, hashing, signature and pairing; it is also expressive enough for some RBAC policies. A variant of this procedure for Dolev Yao theory has been implemented in Cl-Atse, a protocol analysis tool based on constraint solving.