Pour water in a multi-functional pressure cooker (such as Instant Pot(R)). Place trivet inside the pot and then place eggs on top. Close and lock the lid. Select high pressure according to manufacturer's instructions; set timer for 3 minutes. Allow 10 to 15 minutes for pressure to build.
Release pressure carefully using the quick-release method according to manufacturer's instructions, about 5 minutes. Unlock and remove lid.
Place eggs in a bowl full of ice; let stand for 3 minutes to stop the cooking process. Remove from water.