A clash of home fixtures with ground landlords Cheshunt meant FC Romania had to play on Sunday.
And it was the visitors who settled the better, taking a 17th-minute lead when Alasan Ann reacted quickest to a half-hit effort from Jervon Campbell to fire past Lincoln Marques in the home goal.
AFC held that lead until half-time, but just 5 minutes after the interval, FC Romania equalised with a shot from 25 yards from Sean Bonnett-Johnson.
But on 65 minutes, the visitors were back in front when top scorer BJ Christie got on the end of a through ball to slot past Marques.
The hosts came remarkably close to snatching a point in the very last minute, but AFC keeper Jamie Head made a fine point-blank save from Kieran Bishop.
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