Both teams have won their opening two games, putting them into the last 16 with a maximum six points each and sending reigning champions Spain and Australia crashing out.
Only goal-difference separates the two, with the Netherlands narrowly top following their 5-1 win over Spain and 3-2 scrap against Australia.
Brazil are favoured to qualify top in Group A, meaning they will face whoever finishes second in Group B -- a match-up neither the Netherlands nor Chile will relish.
It is a complicating factor that neither the Netherlands nor Chile will want to dwell on before Monday's game at Corinthians Arena in Sao Paulo.
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Arjen Robben clocked 37 kilometres (23 miles) per hour, a record for a footballer, as he inspired the Netherlands' deconstruction of short-passing Spain.
But it remains to be seen if the Bayern Munich flyer will again hit the heights in Monday's run-out, effectively a precursor for the knock-out challenges ahead.
Coach Louis van Gaal, who will link up with Van Persie at Old Trafford next season, will be looking for more solidity after some distinctly worrying moments against Australia.
Against one of the tournament's least fancied teams, the Netherlands were trailing 2-1 early in the first half before Van Persie and Memphis Depay spared their blushes.