How to make pieces hit the ground like tetris

Hi guys!

Kind of a newbie question here.
I´m trying to create a game that´s very close to tetris gameplay. The thing is, I need the falling pieces (pawns) to touch the ground at the exact same spot for everyone, and then stop falling of course.
I´ve tried with a trigger box as the ground, but as the picture shows, the pieces stop at different places and I need them perfectly leveled so the player can stack them during gameplay. Also, the pieces need to stop falling when one falls on top of each other. I was thinking maybe adding a trigger box as a component for each of the individual pieces (pawn blueprints)

Anything that points me in the right direction will be greatly appreciated. Thanks!!