Sometime after the 12th/13th cycle…
Noctis Lucis Caelum was the crown prince of Lucis before sacrificing his life to defend his kingdom. He journeys on a road trup to marry Lunafreya. However, he discovers the Nifelheim Empire conquers his kingdom for the royal crystal. He spends the remainder of his time on Eos on a journey to reclaim his kingdom.
When did Materia call Noctis to World B? The first scenario the Crystal absorbs him. It would make sense; during this time, Noctis would be out of commission for ten years. Materia would call him early in his decade-long slumber since Noctis apparently hasn’t aged in World B. However, unlike most of the protagonists in Dissidia, we know when Noctis arrives in World B:
So then it could have been anytime during the road trip. Much of Final Fantasy XV’s story takes place on the road. One the long drive, Noctis falls asleep. Materia could have called Noctis during his sleep on the road, throwing his consciousness to World B. Returning back to Eos would seem as a long sleep, once Noctis awakes.