In a joint work with A. Castro, M. Pacifico and V. Pinheiro we present a multidimensional flow exhibiting a Rovella-like attractor: a partially hyperbolic transitive invariant set with a non Lorenz-like singularity accumulated by regular orbits. Moreover, this attractor has a physical measure with full support which is a u-Gibbs state. As in the 3-dimensional rovella-like attractor, this example is not robust. The construction introduces a natural class of multidimensional dynamics to which the Benedicks-Carleson arguments can be applied to get persistent non-uniform expansion along the multidimensional central direction.