  We study a scenario where both dark matter and heavy right handed neutrino
(RHN) responsible for leptogenesis acquire masses by crossing the relativistic
bubble walls formed as a result of a TeV scale supercooled first order phase
transition (FOPT). While this leads to a large out-of-equilibrium abundance of
right handed neutrino inside the bubble sufficient to produce the required
lepton asymmetry, the dark matter being lighter can still remain in equilibrium
with its relic being set by subsequent thermal freeze-out. A classical
conformal symmetry ensures the origin of mass via FOPT induced by a singlet
scalar while also ensuring supercooling leading to enhanced gravitational wave
amplitude within the sensitivity of the LISA experiment. A minimal scenario
with three RHN, one inert scalar doublet and one singlet scalar as additional
fields beyond the standard model is sufficient to realize this possibility
which also favours inert RHN dark matter over inert scalar doublet.
