Former United star van Persie was eventually left out of Blind's line-up but the Oranje boss insisted that it had nothing to do with the bust-up which is simply part and parcel such is the cut-throat nature of the game.
"We have discussed what happened, but that had nothing to do with my decision," Blind is quoted as saying in The Guardian.
"It was a discussion during training about a ball that should have been given over. Things like that happen often. There are sometimes situations in training where players think differently. That's what happened and then it was over.
"I felt that he was not fit enough to start. I think that's down to the fact that he has not played without pain for quite a while."
Holland currently sit fourth on the Group A qualifying table and need to beat second-placed Czech Republic and hope leaders Iceland defeat third-placed Turkey so they can at least force a play-off for next summer's tournament in France.