  Transport calculations represent the major tool to simulate the modifications
induced by the presence of a hot-deconfined medium on the production of
heavy-flavour particles in high-energy nuclear collisions. After a brief
description of the approach and of the major achievements in its
phenomenological applications we discuss some recent developments. In
particular we focus on observables arising from event-by-event fluctuations in
the distribution of deposited energy (odd flow harmonics,
event-shape-engineering) and from the tilting of the initial geometry with
respect to the beam axis (directed flow), with a possible role played by the
strong magnetic field generated by the spectator nucleons.
