Summary: The present paper deals with some classes of morphisms between Finsler and Hilbert modules over a pro-\(C^*\)-algebra and a \(C^*\)-algebra. Especially, we prove that the set of all continuous \(\mathbb C\)- and \(A\)-linear maps over a Finsler pro-\(C^*\)-module is a complete LMC-algebra. Also, the polar decomposition theorem for Hilbert pro-\(C^*\)-modules is discussed. Finally, we introduce the Hilbert-Schmidt operators on Hilbert \(C^*\)-modules.