I reconfirmed our booking by email with the host about two weeks before our stay, and requested a room on the entry floor. I exchanged several pleasant emails with him. However, the credit card we used to make the booking had expired by the time he processed it (a week before our visit?) and he never contacted us, so we did not know there was a problem. When we arrived, he said he didn't know if we were coming and there were no rooms available on the entry floor. Luckily there was a room available on the second floor. The room was nice but very small. It would have been fine for one person but was crowded for two. I thought it was very unprofessional of the host not to have contacted us to get another card number. The second floor room had low water pressure in the shower (if you have long hair you will have trouble getting it thoroughly rinsed, short hair will be fine) and a very poor wifi connection (we had to go out into the hall to get a good signal). Those issues were fixed when we were moved to a larger room on the entry floor - no problem on that floor with water pressure or internet. So, if you are a single traveller with short hair who does not need wifi, the second floor would be fine for you. The rooms would be improved by the addition of floor length mirrors, larger waste baskets, and mini-refrigerators.
The Villa is located in the heart of central Reykjavik, just down the street from Hallgrimskirkja on one end and the main shopping streets on the other. It is cute, clean, well kept, light and bright. We stayed for a week and were quite comfortable. The host (Raphael) and housekeeping staff were friendly and helpful. We stayed in two rooms during the week, and both had comfy beds and private baths. The rooms also had electric tea kettles and were supplied with tea and cocoa. Fresh bath towels were provided each day. We were able to walk all over central Reykjavik easily from this location. There is a market (groceries and sundries) just a few buildings up the street and there are several good and affordable restaurants on the street as well. Raphael moved us to a larger room when one became available, provided me with a hair dryer when I asked about where to purchase one, and arranged our return transportation to the airport for us upon our request. The Villa is a good value and we were very happy with our stay.