The invention proposes a method of modernizing a flexible conduit line (50), wherein the modernization method comprises the following steps performed in at least one end fittings joint (11, 12, 13), namely, removing a check valve (16) or a plug (17) from at least one outlet port (15) of an end fitting (111, 121, 131), removing a check valve (16′) or a plug (17′) of at least one outlet port (15′) of an adjacent end fitting (111′, 121′, 131′), installing a tubular line (90) in an external position to provide fluid communication between said at least one outlet port (15) of the end fitting (111, 121, 131) and said at least one outlet port (15′) of the adjacent end fitting (111′, 121′, 131′). The invention further proposes an end fittings joint (12) comprising an end fitting (121) and an adjacent end fitting (121′), the end fittings joint (12) comprising a tubular line (90) positioned externally to the end fittings (121, 121′) in order to establish fluid communication between at least one outlet port (15) of the end fitting and at least one outlet port (15′) of the adjacent end fitting (121′). The invention further proposes an interconnection module (80) connectable to a first end fitting (121) suitable to be installed in a first flexible conduit segment (52) and connectable to a second end fitting (121′) suitable to be installed in a second flexible conduit segment (53). The interconnection module (80) further comprises a tubular line (90) in an external position configured to provide fluid communication between at least one outlet port (15) of the first end fitting (121) and at least one port (15′) of the second end fitting (121′).