A new technique for the spatial deconvolution of spectra is applied to near-IR ( 0.95 - 2.50 \mu ) NTT/SOFI spectra of the lensed , radio-quiet quasar HE 1104 - 1805 . The continuum of the lensing galaxy is revealed between 1.5 \mu and 2.5 \mu . Although the spectrum does not show strong emission features , it is used in combination with previous optical and IR photometry to infer a plausible redshift in the range 0.8 < z < 1.2 . Modeling of the system shows that the lens is complex , probably composed of the red galaxy seen between the quasar images and a more extended component associated with a galaxy cluster with fairly low velocity dispersion ( \sim 575 km s ^ { -1 } ) . Unless more constrains can be put on the mass distribution of the cluster , e.g . from deep X-ray observations , HE 1104 - 1805 will not be a good system to determine H _ { 0 } . We stress that multiply imaged quasars with known time delays might prove more useful as tools for detecting dark mass in distant lenses than for determining cosmological parameters . The spectra of the two lensed images of the source are of great interest . They show no trace of reddening at the redshift of the lens nor at the redshift of the source . This supports the hypothesis of an elliptical lens . Additionally , the difference between the spectrum of the brightest component and that of a scaled version of the faintest component is a featureless continuum . Broad and narrow emission lines , including the FeII features , are perfectly subtracted . The very good quality of our spectrum makes it possible to fit precisely the optical Fe II feature , taking into account the underlying continuum over a wide wavelength range . HE 1104 - 1805 can be classified as a weak Fe II emitter . Finally , the slope of the continuum in the brightest image is steeper than the continuum in the faintest image and supports the finding by Wisotzki et al . ( 1993 ) that the brightest image is microlensed . This is particularly interesting in view of the new source reconstruction methods from multiwavelength photometric monitoring . While HE 1104-1805 does not seem the best target for determining cosmological parameters , it is probably the second most interesting object after Q 2237+0305 ( the Einstein cross ) , in terms of microlensing .