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Using the well known position-dependent mass (PDM) von Roos Hamiltonian,Dutra and Oliveira (2009 J. Phys. A: Math. Theor. 42 025304) have studied theproblem of two-dimensional PDM particles in the presence of magnetic fields.They have reported exact solutions for the wavefunctions and energies. In thefirst part of their study "PDM-Shr\"odinger equation in two-dimensionalCartesian coordinates", they have used the so called Zhu and Kroemer's ordering{\alpha}=-1/2={\gamma} and \b{eta}=0 <cite>5</cite>. While their treatment forthis part is correct beyond doubt, their treatment of second part "PDM in amagnetic field" is improper . We address these improper treatments and reportthe correct presentation for minimal coupling under PDM settings.

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