We can restrict the pop-up notifications we receive on the Xiaomi smartphone when the No Disturb mode is enabled; the messages will not be lost, we just won't be notified.

Android 10 | MIUI 12.0
Restrict notification -  Open the  Settings
Restrict notification -  Tap on  Sound & vibration
Restrict notification -  Tap on  Silent/DND
Restrict notification -  Enable or disable  Restrict floating notifications
  1. Open the Settings
  2. Tap on Sound & vibration
  3. Tap on Silent/DND
  4. Enable or disable Restrict floating notifications

Xiaomi Instructions
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