0-0, or "draw nil nil", or "scoreless draw", is a very uncommon result in Hattrick matches.
At one time, it was even harder to find a match with a 0-0 score. However, starting in October 2005, more of have started to appear.
However, you can get a tie if both teams use 5-5-0 line-up. In this way a 0-0 result will almost always be the case. This can be used in friendlies to get extra training through playing overtime (see The 120 game).