It was a dream about Xaya spending time casually in the city. Within this dream, Kyoya's current situation was reproduced, but he was just working outside! He wasn't an assassin here, but just a common worker.
His wife was also a common housewife and even had children, but Kyoya's dream couldn't really give him an image of a big happy family which was a blunder. Regardless of that, the husband saw a good dream and this awakened his Eidetic Memory concept.
As he woke up, Kyoya watched this dream again and the last moments of it when he reunited with Xaya who immediately showered him with thousands of love hearts and casual talks about what was going on in the city.
In the meantime, her body 'told' Kyoya how hard she missed him.
It was a heavenly dream for the husband!
'Ah, it's a matter of time, haha!'
Kyoya chuckled, then stood up.