Point-to-MultiPoint (P2MP) Multiprotocol Label Switching (MPLS) and Generalized MPLS (GMPLS) Traffic Engineering Label Switched Paths (TE LSPs) may be established using signaling techniques described in [RFC4875]. However, [RFC4875] does not address many issues that come when a P2MP-TE LSP is signaled in inter-domain networks. Specifically, one of the issues in inter- domain networks is how to allow computation of a loosely routed P2MP-TE LSP such that it is re-merge free. Another issue is reoptimization of a P2MP-TE tree vs. reoptimization of an individual destination sub-LSP, as loosely routing domain border node is not aware of the reoptimization scope. This document provides a framework and required protocol extensions needed for establishing, controlling and reoptimizing P2MP MPLS and GMPLS TE LSPs in inter-domain networks. This document borrows inter-domain TE terminology from [RFC 4726], e.g., for the purposes of this document, a domain is considered to be any collection of network elements within a common sphere of address management or path computational responsibility. Examples of such domains include Interior Gateway Protocol (IGP) areas and Autonomous Systems (ASes).