While the bulk, stoichiometric Bi${}_{2}$Te${}_{3}$ single crystals often exhibit $p$-type metallic electrical conduction due to the Bi${}_{\mathrm{Te}}$-type antisite defects, doping by thallium (Bi${}_{2\ensuremath{-}x}$Tl${}_{x}$Te${}_{3}$, $x=0\ensuremath{-}0.30$) progressively changes the electrical conduction of single crystals from $p$ type (0 \ensuremath{\le} $x$ \ensuremath{\le} 0.08) to $n$ type (0.12 \ensuremath{\le} $x$ \ensuremath{\le} 0.30). This is observed via measurements of both the Seebeck coefficient and the Hall effect performed in the crystallographic (0001) plane in the temperature range of 2--300 K. Since any kind of substitution of Tl on the Bi or Te sublattices would result in an enhancement of the density of holes rather than its decrease, and because simple incorporation of Tl at interstitial sites or in the van der Waals gap is unlikely as it would increase the lattice parameters which is not observed in experiments, incorporation of Tl likely proceeds via the formation of TlBiTe${}_{2}$ fragments coexisting with the quintuple layer structure of Bi${}_{2}$Te${}_{3}$. At low levels of Tl, 0 \ensuremath{\le} $x$ \ensuremath{\le} 0.05, the temperature-dependent in-plane ($I\ensuremath{\perp}c$) electrical resistivity maintains its metallic character as the density of holes decreases. Heavier Tl content with 0.08 \ensuremath{\le} $x$ \ensuremath{\le} 0.12 drives the electrical resistivity into a prominent nonmetallic regime displaying characteristic metal-insulator transitions upon cooling to below \ensuremath{\sim}100 K. At the highest concentrations of Tl, 0.20 \ensuremath{\le} $x$ \ensuremath{\le} 0.30, the samples revert back into the metallic state with low resistivity. Thermal conductivity measurements of Bi${}_{2}$Te${}_{3}$ single crystals containing Tl, as examined by the Debye-Callaway phonon conductivity model, reveal a generally stronger point-defect scattering of phonons with the increasing Tl content. The systematic evolution of transport properties suggests that the Fermi level of Bi${}_{2}$Te${}_{3,}$ which initially lies in the valence band (for $x$ = 0), gradually shifts toward the top of the valence band (for 0.01 \ensuremath{\le} $x$ \ensuremath{\le} 0.05), then moves into the band gap (for 0.08 \ensuremath{\le} $x$ \ensuremath{\le} 0.12), and eventually intersects the conduction band (for 0.20 \ensuremath{\le} $x$ \ensuremath{\le} 0.30).