Changes in pressure and magnetic field in the orbital and magnetic ordering temperatures of RVO3 perovskites are reported; they reveal a competition between two magnetic orbitally ordered phases that have opposite preferences for the e-orbital component in the localized {3}T{1g} ground state of the V(3+) ion. This competition is shown to be biased by the VO{6/2} site distortion intrinsic to the orthorhombic structure. A remarkable enhancement of T{N} with pressure is found where the competition leads to enhanced orbital critical fluctuations.