Summary: We examine the question of when the \(*\)-homomorphism \(\lambda: A*_D B\to \widetilde{A}*_ {\widetilde{D}}\widetilde{B}\) of full amalgamated free product C\(^*\)-algebras, arising from compatible inclusions of C\(^*\)-algebras \(A\subseteq\widetilde{A}\), \(B\subseteq{\widetilde B}\) and \(D\subseteq\widetilde{D}\), is an embedding. Results giving sufficient conditions for \(\lambda\) to be injective, as well as classes of examples where \(\lambda\) fails to be injective, are obtained. As an application, we give necessary and sufficient conditions for the full amalgamated free product of finite-dimensional C\(^*\)-algebras to be residually finite-dimensional.