The ideal current input amplifier has zero ohms input resistance, so it can pass whatever input current the source offers. The virtual ground of an inverting amplifier is a pretty fair approximation of such a beast.
A current output amplifier, ideally has infinite output resistance, and has feedback based on the current through the load, not the voltage across it. This feedback is often taken from the voltage drop across a low value resistor in series with the load current.
If you want a current to current amplifier, you may need to use two opamps, one to sum the input and feedback currents, and one to amplify the small drop across the current sense resistor and produce a current for the input current summing junction.