Alfredo communicated via sms before we arrived and met us at the ferry terminal for the short drive to the apartment. The apartment itself is small but fine for two people (the shower is very small and could be problematic for taller / larger guests) and the whole apartment was very clean, nicely decorated and with good facilities (TV, wi-fi etc) and with a useful folder with information on the islands, hikes, places to visit.
There is a supermarket directly opposite and another on the main street towards the ferry terminal and the apartment is only 2-3 minutes walk from the main pedestrianised tourist street.

We did have a couple of times when the power went out (for instance if running aircon and using the electric stove at the same time), Alfredo had mentioned it when we arrived and explained where the fuse box was (downstairs in the basement), no real problem however maybe providing a torch in case the power goes out at night would be useful to save fumbling around in the dark trying to find mobile phones!

Overall we were very happy with our stay and would recommend Alfredo's apartment to anyone visiting Lipari - thanks Alfredo!