We discuss the superfluid triplet-pairing phase diagram for a two-dimensional Fermi system with repulsive interaction. We find all the extrema of the phenomenological 2D triplet Ginzburg-Landau free energy functional. It turns out that they can be associated with 9 known 2D superfluid triplet phases. We find the stability conditions for all 2D phases. In the weak-coupling limit the absolute minimum of the free energy corresponds to both planar and axial phases. We show that the strong-coupling corrections (next order in Tc/eF) to the quartic terms in the free energy functional lift the degeneracy between these two phases in favour of the axial phase.