I'm not clear on how you are connecting the meter. It must be in line with the current flow, so that the current that lights the LEDs is flowing through the meter.
The black wire is hold on the GND and the red wire is hold on the 5V PIN on my LEDs, the multimeter is set to 10A and the socket with 10A is used as well.
Are you aware of any meters which do have a fuse on the 10 A terminals?
The fusible rating of the actual shunt itself would be more like 30 A (100 mV at 10 A is 1 W dissipation, it would require 30 A to dissipate 10 W) and the PCB will most likely fuse first.
Please post images as described in the forum guide!Two of your thumbnail links lead to the same image.