I saw that is possible to check my achievements in my profile screen (where I can start the game or chose the quest) by right clicking in my hero and choosing achievement.
How can I (if possible) check in-game my achievements?
There are three ways to check your achievements in-game:
1) (Easiest) Press Y in-game at any time to bring up the achievements window.
2) Press Esc or the in-game button to bring up the settings menu, and select "achievements" from there.
3) As of Patch 1.05, there is a button for achievements in-game.