We present XMM-Newton observations of the recurrent Be/X-ray transient A0538-66, situated in the Large Mag- ellanic Cloud, in the quiescent state. Despite a very low luminosity state of (5-8)×1033 ergs/s in the range 0.3- 10 keV, the source is clearly detected up to ∼8 keV. and can be fitted using either a power law with pho- ton index α=1.9±0.3 or a bremsstrahlung spectrum with kT=3.9+3.9 -1.7 keV. The spectral analysis confirms that the off-state spectrum is hard without requiring any soft com- ponent, contrary to the majority of neutron stars observed in quiescence up to now. Key words: A0538-66; XMM-Newton; quiescent emis- sion.