the present invention relates to an assembly for the tricuspid orifice of a human heart, comprising an external frame (100) connected to an internal stent (200) carrying a tricuspid valve bioprosthesis (210) and a sealing skirt (610). the external frame (100) is configured to hold its position in the native tricuspid annulus. the internal stent (200) is connected to the external frame by one or more fixing strands. the sealing skirt (610) covers the interstitial space existing between the external frame (100) and the internal stent (200). developments are described which comprise in particular the use of a deformable region of the frame, various alternative embodiments of the sealing skirt, the use of a frame composed of multiple sub-sections, the use of fixing strands between the stent and the frame and of fixing elements for fixing the assembly to the native tissue, the use of sensors and / or actuators, and also the use of a stent in the lower vena cava. method aspects are described. figure 5athe present invention relates to an assembly for the tricuspid orifice of a human heart, comprising an external frame (100) connected to an internal stent (200) carrying a tricuspid valve bioprosthesis (210) and a sealing skirt (610). the external frame (100) is configured to hold its position in the native tricuspid annulus. the internal stent (200) is connected to the external frame by one or more fixing strands. the sealing skirt (610) covers the interstitial space existing between the external frame (100) and the internal stent (200). developments are described which comprise in particular the use of a deformable region of the frame, various alternative embodiments of the sealing skirt, the use of a frame composed of multiple sub-sections, the use of fixing strands between the stent and the frame and of fixing elements for fixing the assembly to the native tissue, the use of sensors and/or actuators, and also the use of a stent in the inferior vena cava. method aspects a