The safest approach is to draw the least questionable water possible. Here are the precautions to take before purification:
Avoid:
Avoid stagnant water, which can be a thriving breeding ground. Avoid cloudy or distinctly muddy water.
Also avoid water flowing directly from a glacier: low in minerals and cold, it can cause diarrhoea if you drink a lot.
Choose:
Draw running water that is as clear as possible.
Always check your map to see where it may come from. Again, if pastures or homes are above it, take no chances: treat the water. If there is only a rock face, it is safer.
In general, drinking a small amount exposes you to less diarrhoea risk than drinking a large quantity of contaminated water.