During depression of freezing point in a solution the following are in equilibrium:
Freezing-point depression is the process in which adding a solute to a solvent decreases the freezing point of the solvent.
When you add solid particle in a liquid it hinders the interparticle attraction of the liquid particles , that's why their freezing point decrease .
Now, what happen at freezing point , the liquid and solid form of a substance must be in equilibrium , so answering to your question ,
The liquid solvent and solid solvent form are in equilibrium.