The Mana Press is achieved for defeating the Boss "the Caffiend" on the bottom floor of the Joblin Dungeon.
"The Caffiend" has fairly simple attacks.
1/ He swings his arms in front of him clearing the area
2/ a red Target appears on the floor where he will land his jumps
3/ a red directional line will appear on the floor and he will rush across the room THREE times, the third time leaves Caffiend disorientated after colliding with the wall, and also spawns two bomb throwing "canbassadors" and some item boxes.
There are lots of chances to attack with weapons you've accrued through the run to the boss, but the biggest window is after the floor rushes.