Two previously unknown (1)Pi states and one (1)Sigma(+) state of NaLi are experimentally investigated in the energy region of 34,000-36,000 cm(-1) above the bottom of the molecular ground state potential well by using polarization labeling spectroscopy technique. Potential energy curves are deduced for all three states from the observed rovibrational levels. The identity of the observed states is discussed in relation with the recently published theoretical calculations on electronic structure of NaLi by Petsalakis et al. [J. Chem. Phys. 129, 054306 (2008)] and Mabrouk and Berriche [J. Phys. B41, 155101 (2008)].