The pair reportedly had to be separated by team-mates after an argument turned sour following Frenchman’s booking in the first half against the Seasiders at Bloomfield Road
The Gunners had taken a two-goal lead at the end of the first half, when Diaby - who had scored the opener - was booked for kicking the ball away after the whistle had been blown.
And The Mirror reports that Van Persie was angry with his team-mate, and the pair had to be pulled apart by other players during half-time.
Earlier in the season, the Londoners were cruising with a 4-0 lead at half-time against Newcastle United, but Diaby's red card proved to change the match as the opposition managed to pull off a shock to draw 4-4.
Against Blackpool, however, Arsene Wenger's men conceded a goal a little after the break, but managed to win the game 3-1.