The so-called Euro Step first appeared in the US about 5-7 years ago in the NBA. From there it quickly spread to the collegiate ranks and has now slowly filtered down to the high school level.
The big debate about the Euro step is whether or not it is an illegal move and is actually traveling. Many folks are passionate on both sides of this issue. I believe the truth of the matter lies, as it does with other suspect traveling moves, in the knowledge of which foot is the pivot foot when the dribble ends.
In the video clip below there appear to be three options to me. If the dribble driver ended the dribble with his left foot on the floor then a traveling violation occurs because the left foot was raised and reset before the ball was released on the shot.
If the dribble driver ended the dribble with both feet off the floor, then the first foot to touch the floor was the right foot which becomes the pivot foot and then the play becomes legal with a step with the
non-pivot foot, the left, and then the shot before the right foot again touches the floor.
If the dribble driver ended the dribble with the right foot on the floor, again the move is legal and is simply a lay-up shot.
The difficulty in officiating this play is that it is almost impossible to the naked eye to correctly determine when the dribble ended and which foot ( if any) was on the floor serving as the pivot foot. In fact, it is, for me, a challenge to determine this even in slow-motion. Probably you are much sharper than I am, however.
So, the best approach to this play may be to stay off of it all together unless it is done awkwardly and slowly and is obviously traveling.
Study the video clip below. Download it if you can and study it in slow motion. If you cannot download it write me and I will send you the file.