A hydrokinetic torque coupling device features an impeller, a casing having a first engagement surface, a damper assembly, a turbine-piston including a drive component with a second engagement surface, and a clutch plate having clutch plate engagement surfaces interposed between and axially movable relative to at least one of the first and second clutch plate engagement surfaces. The turbine-piston is axially displaceable relative to the casing to move the second engagement surface axially towards and away from the first engagement surface for positioning the hydrokinetic torque coupling device into and out of a lockup mode in which the first and second engagement surfaces and the clutch plate engagement surfaces frictionally interlock with one another to non-rotatably lock the casing relative to the input part of the damper assembly.