The structural and electronic properties of FeSe ultra-thin layers on
Bi2Se3 have been investigated with a combination of scanning
tunneling microscopy and spectroscopy and angle-resolved photoemission
spectroscopy. The FeSe multi-layers, which are predominantly 3-5 monolayers
(ML) thick, exhibit a hole pocket-like electron band at \bar{\Gamma} and a
dumbbell-like feature at \bar{M}, similar to multi-layers of FeSe on
SrTiO3. Moreover, the topological state of the Bi2Se3 is preserved beneath
the FeSe layer, as indicated by a heavily \it{n}-doped Dirac cone. Low
temperature STS does not exhibit a superconducting gap for any investigated
thickness down to a temperature of 5 K