Take into account that the input of the opamp is a differential pair. They have an associated maximum input depending on the model, and you can find it under the common mode voltage range input. It usually goes from values of 0 to Vcc - x for the opamp to remain stable.
I would guess that if you want to obtain the subtraction of the signal you mention, a good approach is to use a voltage divider resistor config, to scale the voltage down by a known factor.