The following code is an example request to turn off Xiaomi's Mi smart LED lightbulbs through Home Assistant's API:

```python
import homeassistant.api as haapi

# Replace "your_home_assistant_username" with your Home Assistant username
# Replace "your_home_assistant_password" with your Home Assistant password
# Replace "your_device_name" with the name of your Mi smart LED lightbulb

# Authorize the request
ha_session = haapi.Session(username="your_home_assistant_username",
                           password="your_home_assistant_password")

# Turn off the bulb
ha_session.call('turn_off_light', {
        'entity_id': 'your_device_name'
      })
```
Make sure you replace the placeholders with your own Home Assistant username, password, and device name. Once you have done so, you can run this code and it should turn off the specified Xiaomi Mi smart LED lightbulb.
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