Has there ever been a 7–5 in the Premier League?

Yes, 4 times.

The first time: February 13, 1915, Middlesbrough beat Tottenham Hotspur (Middlesbrough 7–5 Tottenham Hotspur).

The last time: March 3, 1930, Blackburn Rovers beat Sheffield United (Sheffield United 5–7 Blackburn Rovers), 96 years ago.

Home wins: 3. Away wins: 1.

Nearby scores

1. 8–4 2 times
2. 8–5 1 time
3. 8–6 Never
4. 7–4 12 times
5. 7–5 4 times
6. 7–6 Never
7. 6–4 16 times
8. 6–5 9 times
9. 6–6 1 time

All games

1. March 3, 1930 Sheffield United 5–7 Blackburn Rovers
2. September 28, 1929 Blackburn Rovers 7–5 Birmingham City
3. March 10, 1928 Newcastle United 7–5 Aston Villa
4. February 13, 1915 Middlesbrough 7–5 Tottenham Hotspur