In this paper, we study vehicular communications (VCs) at intersections, in the presence of interference over Nakagami-m fading channels. The interference are originated from vehicles located on two perpendicular roads. We derive the outage probability, and closed forms are obtained. The outage probability is derived when the destination is on the road (vehicle, cyclist, pedestrian) or outside the road (base station, road side unit). We compare the performance of line of sight (LOS) scenarios and non-line of sight (NLOS) scenarios, and show that NLOS scenarios offer better performance than LOS scenarios. We also compare intersection scenarios with highway scenarios, and show that the performance of intersection scenarios are worst than highway scenarios as the destination moves toward the intersection. Finally, we investigate the performance of VCs in a realistic scenario involving several lanes. All the analytical results are validated by Monte-Carlo simulations.