When Alex falls off the tree, she rolls on the floor and hits her head with a rock. In the next shot she is lying on the floor, and there is no rock next to her.
There is only a "normal" University in Basel. The technical institutes are located in Zürich and Lausanne.
In the deleted scenes, when Alex climbs down the tree and hits her head on the rock, a harness attached to her is clearly visible.
The police in Basel are shouting at Nikita and the Guardian in French. However, in Basel, the primary language is a dialect of German, not French.