The chasing illustrates a scene from the Aeneid in which Aeneas, the Trojan hero, prepares to visit the underworld in order to consult with the shadow of his father, Anchises. Leaving his companions, Aeneas is led by a prophetess known as the Cumaean Sibyl towards the wild forest from whence she points to the entrance of the underworld.
For other boxes and an account of this goldsmith see lots 116 and 137.