The $\nu$-principal configuration of an immersed surface $M$ in $I\!\! R^{4}$ is the set formed by the umbilical points and the lines of principal curvatures with respect to a unitary smooth vector field $\nu$ normal to $M$. In this article we describe the bifurcation diagram of $\nu$-principal configurations, where $\nu$ is parametrized in the space of 1-jets of normal vector fields which define an isolated umbilical point. Versal unfoldings of the nonlocally stable simple umbilical points are obtained.