The meaning is more or less: I will see you when you come back or You will see me when I come back Excuse me but I am trying to improve my English little by little. Sorry. Greetings. P.S.: I suppose that I have made some mistakes in this text. I should be very grateful if you would correct my mistakes, if you don't mind, of course.

nos vemos a la vuelta means that i will see you in a corner of a street and see you around is more like te veo despues or luego te veo. some times you can translate the phrase directly but it does not sound ok in that case you need to check the situation where you want to use it.