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The properties of the substitutional impurities of the second period of the periodic table incorporated into graphene were investigated. The Green's-functions framework and the tightbinding method without the effect of the lattice distortion were used. We discuss the possibility of the existence of well-defined resonant states in the valence band or the conduction band in the vicinity of the Dirac point. We conclude that in the vicinity of the Dirac point there was a possibility of a coincidence of the Fermi energy levels with impurity resonances (i.e., the Fermi level is pinned to the impurity resonance level.) ß