Has there ever been a 13–7 in all competitions?

Never.

It would be a scorigami. Based on the average number of goals in all competitions, the chance of a game ending 13–7 is about 1 in 225,626,721,892.

Nearby scores

1. 14–6 Never
2. 14–7 Never
3. 14–8 Never
4. 13–6 Never
5. 13–7 Never
6. 13–8 Never
7. 12–6 Never
8. 12–7 Never
9. 12–8 Never