The LM358 input common mode range includes ground, so he should not have problems amplifying 100mV DC, so long as the gain does not drive the output into saturation.You never have said what you are trying to do. The closer you get to the power supply rail the more problems you will likely have. This is the reason I referred you to the pseudo power supply ground.
When they teach op amp theory the use a ± power supply. You can use a single power supply, but you should bias the op amp mid range (½Vcc).
You need to provide us with a graph of output versus input voltage. Include the entire range, from minimum to maximum.I want to observe changing voltage on 1.1 R.Normally my reference voltage(1.1 R) is approximately 200 mV. when my referance voltage is decreased I want to observe voltage differences on 1.1 ohm. For example when voltage decre from 200 mV to 185 mV, I want catch difference is between 1-1.5 V.