Keep your P.O.I. short and to the point. Remember that many speakers like to take a P.O.I. and then use the time to check what they will say next while half listening to the person offering the point. Once they know what the next part of their speech is they work out an answer to your point. If your point is only about 5 sec. It looks bad if they have to stop to think what to say, especially if they have to ask you to repeat it.
Timing is important.
Wait for a pause, for breath etc. Obviously you have to be quick and good reflexes are needed to be on your feet literally within a split second. I've found that a point is more likely to be accepted in this type of case but you can't wait for too long as the point could then be out of place. Different people have different styles when it comes to Points of Information. This can be very difficult to deal with and takes some getting used to.