A detailed study of small, discrete, CsI(Tl)-PIN photodiode detectors has been carried out for the INTEGRAL project. Optical Monte Carlo simulations and noise calculations show that the maximum signal-to-noise ratio may be obtained by using photodiodes whose sensitive area covers approximately 50-60% of the scintillator output surface area. The measured performance for a range of photodiode sizes coupled to a 1 cm2 scintillator has been compared with the results of the simulations.