Xiaomi has started rolling out MIUI 8.1.6 Global Stable ROM for Mi Max for both the 16/32GB storage variants. The MIUI 220.127.116.11.MBCMIDI update is currently being rolled out over the air and you can download it right here as well. Check Out: Xiaomi Mi Max Detailed Specifications
The MIUI 8.1.6 global stable ROM for Mi Max weighs in at about 1.3 GB and both the Recovery as well as fastboot ROM are available here. Xiaomi has added the Panic button on the Mi Max with the update which has been made compulsory by the Indian government.
Download Xiaomi Mi Max MIUI 8.1.6 Global Stable ROM
Recovery ROM - Download
Fastboot ROM - Download
To install the update on your Mi Max, you can follow the same steps listed here, but with the Recovery ROM file downloaded from above link.
Via: MIUI Forum