New investigations on the signal-to-background ratio of the geochemical solar neutrino experiment Tl-205(nu,e-)Pb-205 using thallium minerals from Allchar (Yugoslavia) are presented. The contributions of several background processes producing Pb-205 induced by natural radioactivities, stopped negative muons and fast muons are estimated. The production rate of Pb-205 by cosmic ray muons, derived from experimental investigations with 120, 200 and 280 GeV muons at the high energy muon channel of CERN, is significantly higher than expected by former estimations. The feasibility of the geochemical Tl-205 solar neutrino experiment is discussed.