User blog comment:Menara/The Son of Sobek: The official PJ and Kane Chronicles Crossover/@comment-10487081-20130508022521/@comment-3146930-20130508030940

They never mention when it takes place. Carter mention he saw a pegasus a year before, so we know when it takes place in the Kane series. However, Percy mentions that Carter could be an escaped soul from the Doors of Death or a demigod from Kronos' Army. That means it could take place pretty much any time after The Last Olympian, but the mentioning of escaped souls suggests after or during The Heroes of Olympus. If it is after, then we pretty much know everything is going to turn out ok in the HoO