All three will receive byes through their first round ties. For Bencic it could be Jennifer Brady or Svetlana Kuznetsova next up.
Bertens could face Veronika Kudermetova or Yulia Putintseva in the second round; while it is Alison Van Uytvanck or Kristina Mladenovic for Kvitová.
Other first round ties include Elena Rybakina against Katerina Siniakova; as well as Anastasjia Sevastova versus Caroline Garcia.
It all kicks off on 10-16 February and is on the Hard Courts in Russia with it being one of the events to begin the post Australian Open swing.
View the draw in full below: