
Samsung Galaxy FAME
The latest firmware for Samsung Galaxy FAME (GT-S6810) is S6810XXAMJ1 with Jelly(Android Bean), released on September 30, 2013 for 11 regions (CSC). Every official firmware build for GT-S6810, newest first: one row per build with all regions (CSC) that received it.
Each firmware build has its own page at https://samfirm.shop/build/{PDA}, where {PDA} is the build number from the list above. Example: https://samfirm.shop/build/S6810XXAMJ1
All 6 builds in our database run Android 4.1.2 (Jelly Bean). The newest build, S6810XXAMJ1, was released on September 30, 2013. No new build has appeared for 159 months, so regular updates for this model have most likely ended.
Box codes of GT-S6810 for different colors and markets. Firmware is chosen by the model code GT-S6810 and your region (CSC), not by the SKU.

GT-S7508

GT-S7500T

GT-S6812

GT-S6500L

GT-S5690L

GT-S5670

GT-S5570I

GT-S5303
The newest firmware for GT-S6810 runs Android 4.1.2 (Jelly Bean): build S6810XXAMJ1, released on September 30, 2013.
The latest build for GT-S6810, S6810XXAMJ1, was released on September 30, 2013 (13 years ago).
GT-S6810 has had no new firmware for 159 months, so regular updates have most likely ended.
Yes, all firmware files for GT-S6810 are 100% official, original, and obtained directly from Samsung servers.
To flash GT-S6810, you need to download the appropriate firmware, put your device into Download Mode, and use the Odin tool to load the BL, AP, CP, and CSC files.
Downgrading is only possible if the bootloader version (binary bit) of the old firmware matches the current one. Always check the binary version before flashing GT-S6810.