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This refers to chasing a foul ball that goes towards a fence for a possible catch/no catch scenario. Both the plate umpire and 1st base umpire, if the ball is down the right field line (or plate umpire and 3rd base umpire, if the ball is down the left field line and there is a 3 or 4 umpire crew) converge on the area where the foul ball is coming down (near a fence, in this case), and watch the fielder attempting to catch the ball. The umpire to whom the fielder turns will make the catch-no catch decision, and the other umpire will determine if the fielder was in live-ball territory when the catch was made, or if there was interference with the fielder. Because the umpires converge on the scene around foul ball, they are boxing in the play. This is what your director most likely referred to.
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