Your question prompted me to do little research on this.
On a multiyear data there is correlation of 0.42 of FII (Net) vs direction of Nifty and in short term (multimonth) it is 0.61 (both according to me is really significant ) and proves the known understanding that its FII which moves the market.
Coming to your question, in last 4 year data there were only 24 days when market was up when both FII(net) and DII(Net) were negative (i.e 2% of all days) and inversely there were 52 days (4.7%) when market was down even though FII(net) and DII(net) were positive.
I believe these are really very small number and thus are not significant enough beyond normal noise (random proabability).
Actual reason for this could certaily be more selling in non-index funds (but as I wrote earlier, this is not a significant portion because of higher correlation of market movement with FII data).
well, i am still working with few data and will let you know if I come up with more info.
At best I can tell you that these 24 days were the days when the average buy/sell (FII) was at average or better than average buy/sell amount (and none of them below 1 SD of mean) (so those were not non-impact days (days generally having american/christian holidays))
by the way, what is the source of the pic ?