I assume this means last turn. It was from a card game. The odd thing is that I wouldn't think of vuelta used this way. I would think of turno. Es mí turno. Surely you couldn't say "Es mí vuelta"? could you? El último turno. La última vuelta. Are these the same? Gracias.
Is it possible it meant "last round" or "last hand"? (I don't know, just guessing).
I found this on a few web sites and both said it meant "last lap" a sports term.