The electronic structure of palladium diselenide (PdSe2) in its monolayer form is analyzed from the topological band theory perspective. Employing first-principles calculations, effective models and symmetry indicators we found that the low-lying conduction bands are topologically nontrivial, protected by time reversal and crystalline symmetries. Numerical evidence supporting the nontrivial character of the bands is presented and examples of physical responses are discussed.