However, Rice felt that the tie that could have gone either way, before Joshua Kimmich netted what proved to be the winner.
We're gutted, we are distraught really," he said post-game.
It's just difficult to put into words. Over the course of the two legs, we had a great chance to go 2-0 up in the first game, and then we then had an uphill task because we went behind 2-1, but we managed to bring it back to 2-2. We came here after Sunday, and we were feeling refreshed and ready.
You saw a reaction in the first half especially. We played with confidence, but were just lacking that cutting edge. But again, it comes down to the boxes and we conceded a goal which is unlike us, and to now go out with a header like that in a game that didn't really have much in it, that's the most disappointing thing to be honest.
I'm hurting. I came into this game full of hunger, desire and passion. I wanted to just get over the line for this club and so did all the players as well. You could see it in everyone, everyone was so hungry together."