Big grab attacks, any way to get out of them?

Actually I love and hate those 1 hit kill attacks at the same time. I hate to be killed, but I love to be forced to fight and even dodge.
I usually use a sniper rifle with tech or biotic support, so I am not forced to dodge or even move in a fight, because most enemys are simple and quick to kill. Those 1-hit-killers force me to move.

But I think there should be a possibility to avoid them by dodging or a melee attack at the right moment. I guess a fiend would let go of me if I cut his paw/claws whatever with my asari sword.