Has a Premier League game ever ended 7-3?
It has. 7-3 has been a Premier League final 24 times in 50,570 games. The first was Bolton Wanderers beat Notts County on March 9, 1889; the latest was Arsenal beat Newcastle United on December 29, 2012.
That makes 7-3 the 30th most common final score out of 51 that have ever occurred in Premier League. One point away, 8-3 has happened 6 times and 7-4 has happened 12 times. At one point the score disappeared for 53 years, between 1959 and 2012.